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Finding the Third Proportional to 63,546,069,438 and 138,261,962,437

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Solution

The third proportional to 63,546,069,438 and 138,261,962,437 is: 300,826,950,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,546,069,438 : 138,261,962,437 = 138,261,962,437 : x
  2. Step 2: Convert to fraction form
    63,546,069,438/138,261,962,437 = 138,261,962,437/x
  3. Step 3: Cross multiply
    63,546,069,438x = 138,261,962,437 × 138,261,962,437
  4. Step 4: Simplify right side
    63,546,069,438x = 19,116,370,256,930,399,059,968
  5. Step 5: Solve for x
    x = 19,116,370,256,930,399,059,968/63,546,069,438
  6. Step 6: Final answer
    x = 300,826,950,053.64

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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.