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Finding the Third Proportional to 252,178,820 and 547,402,012

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Solution

The third proportional to 252,178,820 and 547,402,012 is: 1,188,240,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,178,820 : 547,402,012 = 547,402,012 : x
  2. Step 2: Convert to fraction form
    252,178,820/547,402,012 = 547,402,012/x
  3. Step 3: Cross multiply
    252,178,820x = 547,402,012 × 547,402,012
  4. Step 4: Simplify right side
    252,178,820x = 299,648,962,741,648,128
  5. Step 5: Solve for x
    x = 299,648,962,741,648,128/252,178,820
  6. Step 6: Final answer
    x = 1,188,240,006.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.