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Finding the Third Proportional to 40,275,927,713 and 63,181,045,083

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Solution

The third proportional to 40,275,927,713 and 63,181,045,083 is: 99,112,414,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,275,927,713 : 63,181,045,083 = 63,181,045,083 : x
  2. Step 2: Convert to fraction form
    40,275,927,713/63,181,045,083 = 63,181,045,083/x
  3. Step 3: Cross multiply
    40,275,927,713x = 63,181,045,083 × 63,181,045,083
  4. Step 4: Simplify right side
    40,275,927,713x = 3,991,844,457,780,078,444,544
  5. Step 5: Solve for x
    x = 3,991,844,457,780,078,444,544/40,275,927,713
  6. Step 6: Final answer
    x = 99,112,414,895.20

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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.