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Finding the Third Proportional to 399,268,553,452 and 887,807,857,490

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Solution

The third proportional to 399,268,553,452 and 887,807,857,490 is: 1,974,116,881,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,268,553,452 : 887,807,857,490 = 887,807,857,490 : x
  2. Step 2: Convert to fraction form
    399,268,553,452/887,807,857,490 = 887,807,857,490/x
  3. Step 3: Cross multiply
    399,268,553,452x = 887,807,857,490 × 887,807,857,490
  4. Step 4: Simplify right side
    399,268,553,452x = 788,202,791,820,984,160,616,448
  5. Step 5: Solve for x
    x = 788,202,791,820,984,160,616,448/399,268,553,452
  6. Step 6: Final answer
    x = 1,974,116,881,999.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.