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Finding the Third Proportional to 252,178,818 and 547,402,008

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Solution

The third proportional to 252,178,818 and 547,402,008 is: 1,188,239,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,178,818 : 547,402,008 = 547,402,008 : x
  2. Step 2: Convert to fraction form
    252,178,818/547,402,008 = 547,402,008/x
  3. Step 3: Cross multiply
    252,178,818x = 547,402,008 × 547,402,008
  4. Step 4: Simplify right side
    252,178,818x = 299,648,958,362,432,064
  5. Step 5: Solve for x
    x = 299,648,958,362,432,064/252,178,818
  6. Step 6: Final answer
    x = 1,188,239,998.66

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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.