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Finding the Third Proportional to 11,225,096 and 24,549,712

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Solution

The third proportional to 11,225,096 and 24,549,712 is: 53,691,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225,096 : 24,549,712 = 24,549,712 : x
  2. Step 2: Convert to fraction form
    11,225,096/24,549,712 = 24,549,712/x
  3. Step 3: Cross multiply
    11,225,096x = 24,549,712 × 24,549,712
  4. Step 4: Simplify right side
    11,225,096x = 602,688,359,282,944
  5. Step 5: Solve for x
    x = 602,688,359,282,944/11,225,096
  6. Step 6: Final answer
    x = 53,691,154.11

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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.