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Finding the Third Proportional to 40,275,927,711 and 63,181,045,080

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Solution

The third proportional to 40,275,927,711 and 63,181,045,080 is: 99,112,414,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,275,927,711 : 63,181,045,080 = 63,181,045,080 : x
  2. Step 2: Convert to fraction form
    40,275,927,711/63,181,045,080 = 63,181,045,080/x
  3. Step 3: Cross multiply
    40,275,927,711x = 63,181,045,080 × 63,181,045,080
  4. Step 4: Simplify right side
    40,275,927,711x = 3,991,844,457,400,992,006,144
  5. Step 5: Solve for x
    x = 3,991,844,457,400,992,006,144/40,275,927,711
  6. Step 6: Final answer
    x = 99,112,414,890.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.