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Finding the Third Proportional to 611,335,048.78 and 1,342,768,614.05

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Solution

The third proportional to 611,335,048.78 and 1,342,768,614.05 is: 2,949,327,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,335,048.78 : 1,342,768,614.05 = 1,342,768,614.05 : x
  2. Step 2: Convert to fraction form
    611,335,048.78/1,342,768,614.05 = 1,342,768,614.05/x
  3. Step 3: Cross multiply
    611,335,048.78x = 1,342,768,614.05 × 1,342,768,614.05
  4. Step 4: Simplify right side
    611,335,048.78x = 1,803,027,550,869,432,832
  5. Step 5: Solve for x
    x = 1,803,027,550,869,432,832/611,335,048.78
  6. Step 6: Final answer
    x = 2,949,327,957.66

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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.