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Finding the Third Proportional to 10,258,614 and 22,295,160

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Solution

The third proportional to 10,258,614 and 22,295,160 is: 48,454,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258,614 : 22,295,160 = 22,295,160 : x
  2. Step 2: Convert to fraction form
    10,258,614/22,295,160 = 22,295,160/x
  3. Step 3: Cross multiply
    10,258,614x = 22,295,160 × 22,295,160
  4. Step 4: Simplify right side
    10,258,614x = 497,074,159,425,600
  5. Step 5: Solve for x
    x = 497,074,159,425,600/10,258,614
  6. Step 6: Final answer
    x = 48,454,319.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.