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Finding the Third Proportional to 220,835,696 and 464,516,792

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Solution

The third proportional to 220,835,696 and 464,516,792 is: 977,087,735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835,696 : 464,516,792 = 464,516,792 : x
  2. Step 2: Convert to fraction form
    220,835,696/464,516,792 = 464,516,792/x
  3. Step 3: Cross multiply
    220,835,696x = 464,516,792 × 464,516,792
  4. Step 4: Simplify right side
    220,835,696x = 215,775,850,049,971,264
  5. Step 5: Solve for x
    x = 215,775,850,049,971,264/220,835,696
  6. Step 6: Final answer
    x = 977,087,735.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.