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Finding the Third Proportional to 10,607,704,976 and 23,098,704,232

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Solution

The third proportional to 10,607,704,976 and 23,098,704,232 is: 50,298,357,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607,704,976 : 23,098,704,232 = 23,098,704,232 : x
  2. Step 2: Convert to fraction form
    10,607,704,976/23,098,704,232 = 23,098,704,232/x
  3. Step 3: Cross multiply
    10,607,704,976x = 23,098,704,232 × 23,098,704,232
  4. Step 4: Simplify right side
    10,607,704,976x = 533,550,137,197,414,711,296
  5. Step 5: Solve for x
    x = 533,550,137,197,414,711,296/10,607,704,976
  6. Step 6: Final answer
    x = 50,298,357,505.66

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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.