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Finding the Third Proportional to 1,142,898,942 and 2,480,632,764

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Solution

The third proportional to 1,142,898,942 and 2,480,632,764 is: 5,384,149,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,898,942 : 2,480,632,764 = 2,480,632,764 : x
  2. Step 2: Convert to fraction form
    1,142,898,942/2,480,632,764 = 2,480,632,764/x
  3. Step 3: Cross multiply
    1,142,898,942x = 2,480,632,764 × 2,480,632,764
  4. Step 4: Simplify right side
    1,142,898,942x = 6,153,538,909,830,280,192
  5. Step 5: Solve for x
    x = 6,153,538,909,830,280,192/1,142,898,942
  6. Step 6: Final answer
    x = 5,384,149,624.87

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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.