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Finding the Third Proportional to 10,012,416 and 21,442,008

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Solution

The third proportional to 10,012,416 and 21,442,008 is: 45,918,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012,416 : 21,442,008 = 21,442,008 : x
  2. Step 2: Convert to fraction form
    10,012,416/21,442,008 = 21,442,008/x
  3. Step 3: Cross multiply
    10,012,416x = 21,442,008 × 21,442,008
  4. Step 4: Simplify right side
    10,012,416x = 459,759,707,072,064
  5. Step 5: Solve for x
    x = 459,759,707,072,064/10,012,416
  6. Step 6: Final answer
    x = 45,918,957.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.