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Finding the Third Proportional to 386,983,866 and 841,988,536

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Solution

The third proportional to 386,983,866 and 841,988,536 is: 1,831,974,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,983,866 : 841,988,536 = 841,988,536 : x
  2. Step 2: Convert to fraction form
    386,983,866/841,988,536 = 841,988,536/x
  3. Step 3: Cross multiply
    386,983,866x = 841,988,536 × 841,988,536
  4. Step 4: Simplify right side
    386,983,866x = 708,944,694,755,423,232
  5. Step 5: Solve for x
    x = 708,944,694,755,423,232/386,983,866
  6. Step 6: Final answer
    x = 1,831,974,810.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.