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Finding the Third Proportional to 5,098,646,071.50 and 10,972,133,352

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Solution

The third proportional to 5,098,646,071.50 and 10,972,133,352 is: 23,611,701,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098,646,071.50 : 10,972,133,352 = 10,972,133,352 : x
  2. Step 2: Convert to fraction form
    5,098,646,071.50/10,972,133,352 = 10,972,133,352/x
  3. Step 3: Cross multiply
    5,098,646,071.50x = 10,972,133,352 × 10,972,133,352
  4. Step 4: Simplify right side
    5,098,646,071.50x = 120,387,710,294,070,755,328
  5. Step 5: Solve for x
    x = 120,387,710,294,070,755,328/5,098,646,071.50
  6. Step 6: Final answer
    x = 23,611,701,735.29

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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.