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Finding the Third Proportional to 5,287,070,609 and 7,998,716,166

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Solution

The third proportional to 5,287,070,609 and 7,998,716,166 is: 12,101,117,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287,070,609 : 7,998,716,166 = 7,998,716,166 : x
  2. Step 2: Convert to fraction form
    5,287,070,609/7,998,716,166 = 7,998,716,166/x
  3. Step 3: Cross multiply
    5,287,070,609x = 7,998,716,166 × 7,998,716,166
  4. Step 4: Simplify right side
    5,287,070,609x = 63,979,460,304,229,736,448
  5. Step 5: Solve for x
    x = 63,979,460,304,229,736,448/5,287,070,609
  6. Step 6: Final answer
    x = 12,101,117,052.48

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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.