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Finding the Third Proportional to 1,602,240,348,800.80 and 2,161,798,399,063.10

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Solution

The third proportional to 1,602,240,348,800.80 and 2,161,798,399,063.10 is: 2,916,773,579,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,240,348,800.80 : 2,161,798,399,063.10 = 2,161,798,399,063.10 : x
  2. Step 2: Convert to fraction form
    1,602,240,348,800.80/2,161,798,399,063.10 = 2,161,798,399,063.10/x
  3. Step 3: Cross multiply
    1,602,240,348,800.80x = 2,161,798,399,063.10 × 2,161,798,399,063.10
  4. Step 4: Simplify right side
    1,602,240,348,800.80x = 4,673,372,318,191,782,327,222,272
  5. Step 5: Solve for x
    x = 4,673,372,318,191,782,327,222,272/1,602,240,348,800.80
  6. Step 6: Final answer
    x = 2,916,773,579,999.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.