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Finding the Third Proportional to 10,102,612 and 22,160,968

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Solution

The third proportional to 10,102,612 and 22,160,968 is: 48,612,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102,612 : 22,160,968 = 22,160,968 : x
  2. Step 2: Convert to fraction form
    10,102,612/22,160,968 = 22,160,968/x
  3. Step 3: Cross multiply
    10,102,612x = 22,160,968 × 22,160,968
  4. Step 4: Simplify right side
    10,102,612x = 491,108,502,697,024
  5. Step 5: Solve for x
    x = 491,108,502,697,024/10,102,612
  6. Step 6: Final answer
    x = 48,612,032.48

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