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Finding the Third Proportional to 1,162,852,854 and 1,787,385,051

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Solution

The third proportional to 1,162,852,854 and 1,787,385,051 is: 2,747,334,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,852,854 : 1,787,385,051 = 1,787,385,051 : x
  2. Step 2: Convert to fraction form
    1,162,852,854/1,787,385,051 = 1,787,385,051/x
  3. Step 3: Cross multiply
    1,162,852,854x = 1,787,385,051 × 1,787,385,051
  4. Step 4: Simplify right side
    1,162,852,854x = 3,194,745,320,538,272,768
  5. Step 5: Solve for x
    x = 3,194,745,320,538,272,768/1,162,852,854
  6. Step 6: Final answer
    x = 2,747,334,118.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.