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Finding the Third Proportional to 243,591,678 and 574,832,769

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Solution

The third proportional to 243,591,678 and 574,832,769 is: 1,356,502,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,591,678 : 574,832,769 = 574,832,769 : x
  2. Step 2: Convert to fraction form
    243,591,678/574,832,769 = 574,832,769/x
  3. Step 3: Cross multiply
    243,591,678x = 574,832,769 × 574,832,769
  4. Step 4: Simplify right side
    243,591,678x = 330,432,712,316,207,360
  5. Step 5: Solve for x
    x = 330,432,712,316,207,360/243,591,678
  6. Step 6: Final answer
    x = 1,356,502,467.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.