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Finding the Third Proportional to 304,200,008 and 656,892,592

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Solution

The third proportional to 304,200,008 and 656,892,592 is: 1,418,500,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,200,008 : 656,892,592 = 656,892,592 : x
  2. Step 2: Convert to fraction form
    304,200,008/656,892,592 = 656,892,592/x
  3. Step 3: Cross multiply
    304,200,008x = 656,892,592 × 656,892,592
  4. Step 4: Simplify right side
    304,200,008x = 431,507,877,424,478,464
  5. Step 5: Solve for x
    x = 431,507,877,424,478,464/304,200,008
  6. Step 6: Final answer
    x = 1,418,500,545.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.