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Finding the Third Proportional to 10,616,071,908 and 22,998,653,376

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Solution

The third proportional to 10,616,071,908 and 22,998,653,376 is: 49,824,272,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616,071,908 : 22,998,653,376 = 22,998,653,376 : x
  2. Step 2: Convert to fraction form
    10,616,071,908/22,998,653,376 = 22,998,653,376/x
  3. Step 3: Cross multiply
    10,616,071,908x = 22,998,653,376 × 22,998,653,376
  4. Step 4: Simplify right side
    10,616,071,908x = 528,938,057,109,396,193,280
  5. Step 5: Solve for x
    x = 528,938,057,109,396,193,280/10,616,071,908
  6. Step 6: Final answer
    x = 49,824,272,263.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.