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Finding the Third Proportional to 10,432,245 and 22,407,051

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Solution

The third proportional to 10,432,245 and 22,407,051 is: 48,127,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,245 : 22,407,051 = 22,407,051 : x
  2. Step 2: Convert to fraction form
    10,432,245/22,407,051 = 22,407,051/x
  3. Step 3: Cross multiply
    10,432,245x = 22,407,051 × 22,407,051
  4. Step 4: Simplify right side
    10,432,245x = 502,075,934,516,601
  5. Step 5: Solve for x
    x = 502,075,934,516,601/10,432,245
  6. Step 6: Final answer
    x = 48,127,314.35

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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.