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Finding the Third Proportional to 649,577,561 and 1,532,886,780

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Solution

The third proportional to 649,577,561 and 1,532,886,780 is: 3,617,338,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,577,561 : 1,532,886,780 = 1,532,886,780 : x
  2. Step 2: Convert to fraction form
    649,577,561/1,532,886,780 = 1,532,886,780/x
  3. Step 3: Cross multiply
    649,577,561x = 1,532,886,780 × 1,532,886,780
  4. Step 4: Simplify right side
    649,577,561x = 2,349,741,880,298,768,384
  5. Step 5: Solve for x
    x = 2,349,741,880,298,768,384/649,577,561
  6. Step 6: Final answer
    x = 3,617,338,438.66

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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.