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Finding the Third Proportional to 152,592,024 and 327,001,776

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Solution

The third proportional to 152,592,024 and 327,001,776 is: 700,758,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,592,024 : 327,001,776 = 327,001,776 : x
  2. Step 2: Convert to fraction form
    152,592,024/327,001,776 = 327,001,776/x
  3. Step 3: Cross multiply
    152,592,024x = 327,001,776 × 327,001,776
  4. Step 4: Simplify right side
    152,592,024x = 106,930,161,507,154,176
  5. Step 5: Solve for x
    x = 106,930,161,507,154,176/152,592,024
  6. Step 6: Final answer
    x = 700,758,523.97

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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.