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Finding the Third Proportional to 649,577,559 and 1,532,886,775.50

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Solution

The third proportional to 649,577,559 and 1,532,886,775.50 is: 3,617,338,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,577,559 : 1,532,886,775.50 = 1,532,886,775.50 : x
  2. Step 2: Convert to fraction form
    649,577,559/1,532,886,775.50 = 1,532,886,775.50/x
  3. Step 3: Cross multiply
    649,577,559x = 1,532,886,775.50 × 1,532,886,775.50
  4. Step 4: Simplify right side
    649,577,559x = 2,349,741,866,502,787,584
  5. Step 5: Solve for x
    x = 2,349,741,866,502,787,584/649,577,559
  6. Step 6: Final answer
    x = 3,617,338,428.56

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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.