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Finding the Third Proportional to 32,382,027 and 70,144,897

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Solution

The third proportional to 32,382,027 and 70,144,897 is: 151,945,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382,027 : 70,144,897 = 70,144,897 : x
  2. Step 2: Convert to fraction form
    32,382,027/70,144,897 = 70,144,897/x
  3. Step 3: Cross multiply
    32,382,027x = 70,144,897 × 70,144,897
  4. Step 4: Simplify right side
    32,382,027x = 4,920,306,575,140,609
  5. Step 5: Solve for x
    x = 4,920,306,575,140,609/32,382,027
  6. Step 6: Final answer
    x = 151,945,601.65

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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.