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Finding the Third Proportional to 10,432,894 and 22,301,570

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Solution

The third proportional to 10,432,894 and 22,301,570 is: 47,672,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,894 : 22,301,570 = 22,301,570 : x
  2. Step 2: Convert to fraction form
    10,432,894/22,301,570 = 22,301,570/x
  3. Step 3: Cross multiply
    10,432,894x = 22,301,570 × 22,301,570
  4. Step 4: Simplify right side
    10,432,894x = 497,360,024,464,900
  5. Step 5: Solve for x
    x = 497,360,024,464,900/10,432,894
  6. Step 6: Final answer
    x = 47,672,297.30

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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.