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Finding the Third Proportional to 461,873,695.50 and 1,005,055,767

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Solution

The third proportional to 461,873,695.50 and 1,005,055,767 is: 2,187,041,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,873,695.50 : 1,005,055,767 = 1,005,055,767 : x
  2. Step 2: Convert to fraction form
    461,873,695.50/1,005,055,767 = 1,005,055,767/x
  3. Step 3: Cross multiply
    461,873,695.50x = 1,005,055,767 × 1,005,055,767
  4. Step 4: Simplify right side
    461,873,695.50x = 1,010,137,094,779,958,272
  5. Step 5: Solve for x
    x = 1,010,137,094,779,958,272/461,873,695.50
  6. Step 6: Final answer
    x = 2,187,041,835.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.