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Finding the Third Proportional to 307,217,888 and 432,140,496

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Solution

The third proportional to 307,217,888 and 432,140,496 is: 607,859,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,217,888 : 432,140,496 = 432,140,496 : x
  2. Step 2: Convert to fraction form
    307,217,888/432,140,496 = 432,140,496/x
  3. Step 3: Cross multiply
    307,217,888x = 432,140,496 × 432,140,496
  4. Step 4: Simplify right side
    307,217,888x = 186,745,408,283,126,016
  5. Step 5: Solve for x
    x = 186,745,408,283,126,016/307,217,888
  6. Step 6: Final answer
    x = 607,859,814.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.