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Finding the Third Proportional to 10,671,671 and 23,417,421

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Solution

The third proportional to 10,671,671 and 23,417,421 is: 51,386,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671,671 : 23,417,421 = 23,417,421 : x
  2. Step 2: Convert to fraction form
    10,671,671/23,417,421 = 23,417,421/x
  3. Step 3: Cross multiply
    10,671,671x = 23,417,421 × 23,417,421
  4. Step 4: Simplify right side
    10,671,671x = 548,375,606,291,241
  5. Step 5: Solve for x
    x = 548,375,606,291,241/10,671,671
  6. Step 6: Final answer
    x = 51,386,104.98

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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.