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Finding the Third Proportional to 649,577,624 and 1,532,886,936

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Solution

The third proportional to 649,577,624 and 1,532,886,936 is: 3,617,338,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,577,624 : 1,532,886,936 = 1,532,886,936 : x
  2. Step 2: Convert to fraction form
    649,577,624/1,532,886,936 = 1,532,886,936/x
  3. Step 3: Cross multiply
    649,577,624x = 1,532,886,936 × 1,532,886,936
  4. Step 4: Simplify right side
    649,577,624x = 2,349,742,358,559,468,032
  5. Step 5: Solve for x
    x = 2,349,742,358,559,468,032/649,577,624
  6. Step 6: Final answer
    x = 3,617,338,824.10

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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.