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Finding the Third Proportional to 4,247,391,668 and 6,430,105,882

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Solution

The third proportional to 4,247,391,668 and 6,430,105,882 is: 9,734,506,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247,391,668 : 6,430,105,882 = 6,430,105,882 : x
  2. Step 2: Convert to fraction form
    4,247,391,668/6,430,105,882 = 6,430,105,882/x
  3. Step 3: Cross multiply
    4,247,391,668x = 6,430,105,882 × 6,430,105,882
  4. Step 4: Simplify right side
    4,247,391,668x = 41,346,261,653,731,000,320
  5. Step 5: Solve for x
    x = 41,346,261,653,731,000,320/4,247,391,668
  6. Step 6: Final answer
    x = 9,734,506,465.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.