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Finding the Third Proportional to 1,954,926,372,735 and 4,208,626,350,414

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Solution

The third proportional to 1,954,926,372,735 and 4,208,626,350,414 is: 9,060,461,818,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,926,372,735 : 4,208,626,350,414 = 4,208,626,350,414 : x
  2. Step 2: Convert to fraction form
    1,954,926,372,735/4,208,626,350,414 = 4,208,626,350,414/x
  3. Step 3: Cross multiply
    1,954,926,372,735x = 4,208,626,350,414 × 4,208,626,350,414
  4. Step 4: Simplify right side
    1,954,926,372,735x = 17,712,535,757,399,065,024,790,528
  5. Step 5: Solve for x
    x = 17,712,535,757,399,065,024,790,528/1,954,926,372,735
  6. Step 6: Final answer
    x = 9,060,461,818,118.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.