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Finding the Third Proportional to 2,898,180,709 and 6,365,717,343

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Solution

The third proportional to 2,898,180,709 and 6,365,717,343 is: 13,981,998,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898,180,709 : 6,365,717,343 = 6,365,717,343 : x
  2. Step 2: Convert to fraction form
    2,898,180,709/6,365,717,343 = 6,365,717,343/x
  3. Step 3: Cross multiply
    2,898,180,709x = 6,365,717,343 × 6,365,717,343
  4. Step 4: Simplify right side
    2,898,180,709x = 40,522,357,290,970,980,352
  5. Step 5: Solve for x
    x = 40,522,357,290,970,980,352/2,898,180,709
  6. Step 6: Final answer
    x = 13,981,998,142.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.