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Finding the Third Proportional to 1,020,517,790,509 and 2,186,598,507,998

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Solution

The third proportional to 1,020,517,790,509 and 2,186,598,507,998 is: 4,685,085,433,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,517,790,509 : 2,186,598,507,998 = 2,186,598,507,998 : x
  2. Step 2: Convert to fraction form
    1,020,517,790,509/2,186,598,507,998 = 2,186,598,507,998/x
  3. Step 3: Cross multiply
    1,020,517,790,509x = 2,186,598,507,998 × 2,186,598,507,998
  4. Step 4: Simplify right side
    1,020,517,790,509x = 4,781,213,035,179,079,744,094,208
  5. Step 5: Solve for x
    x = 4,781,213,035,179,079,744,094,208/1,020,517,790,509
  6. Step 6: Final answer
    x = 4,685,085,433,732.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.