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Finding the Third Proportional to 10,102,234 and 22,160,312

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Solution

The third proportional to 10,102,234 and 22,160,312 is: 48,610,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102,234 : 22,160,312 = 22,160,312 : x
  2. Step 2: Convert to fraction form
    10,102,234/22,160,312 = 22,160,312/x
  3. Step 3: Cross multiply
    10,102,234x = 22,160,312 × 22,160,312
  4. Step 4: Simplify right side
    10,102,234x = 491,079,427,937,344
  5. Step 5: Solve for x
    x = 491,079,427,937,344/10,102,234
  6. Step 6: Final answer
    x = 48,610,973.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.