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Finding the Third Proportional to 2,772,698,325 and 6,165,332,416

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Solution

The third proportional to 2,772,698,325 and 6,165,332,416 is: 13,709,145,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772,698,325 : 6,165,332,416 = 6,165,332,416 : x
  2. Step 2: Convert to fraction form
    2,772,698,325/6,165,332,416 = 6,165,332,416/x
  3. Step 3: Cross multiply
    2,772,698,325x = 6,165,332,416 × 6,165,332,416
  4. Step 4: Simplify right side
    2,772,698,325x = 38,011,323,799,780,392,960
  5. Step 5: Solve for x
    x = 38,011,323,799,780,392,960/2,772,698,325
  6. Step 6: Final answer
    x = 13,709,145,151.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.