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Finding the Third Proportional to 2,073,971,916 and 3,032,219,433

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Solution

The third proportional to 2,073,971,916 and 3,032,219,433 is: 4,433,210,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,971,916 : 3,032,219,433 = 3,032,219,433 : x
  2. Step 2: Convert to fraction form
    2,073,971,916/3,032,219,433 = 3,032,219,433/x
  3. Step 3: Cross multiply
    2,073,971,916x = 3,032,219,433 × 3,032,219,433
  4. Step 4: Simplify right side
    2,073,971,916x = 9,194,354,689,862,841,344
  5. Step 5: Solve for x
    x = 9,194,354,689,862,841,344/2,073,971,916
  6. Step 6: Final answer
    x = 4,433,210,796.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.