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Finding the Third Proportional to 2,587,475,988 and 4,224,668,742

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Solution

The third proportional to 2,587,475,988 and 4,224,668,742 is: 6,897,774,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,475,988 : 4,224,668,742 = 4,224,668,742 : x
  2. Step 2: Convert to fraction form
    2,587,475,988/4,224,668,742 = 4,224,668,742/x
  3. Step 3: Cross multiply
    2,587,475,988x = 4,224,668,742 × 4,224,668,742
  4. Step 4: Simplify right side
    2,587,475,988x = 17,847,825,979,631,861,760
  5. Step 5: Solve for x
    x = 17,847,825,979,631,861,760/2,587,475,988
  6. Step 6: Final answer
    x = 6,897,774,534.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.