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Finding the Third Proportional to 63,221,488,116 and 136,519,384,989

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Solution

The third proportional to 63,221,488,116 and 136,519,384,989 is: 294,797,592,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,221,488,116 : 136,519,384,989 = 136,519,384,989 : x
  2. Step 2: Convert to fraction form
    63,221,488,116/136,519,384,989 = 136,519,384,989/x
  3. Step 3: Cross multiply
    63,221,488,116x = 136,519,384,989 × 136,519,384,989
  4. Step 4: Simplify right side
    63,221,488,116x = 18,637,542,477,774,798,716,928
  5. Step 5: Solve for x
    x = 18,637,542,477,774,798,716,928/63,221,488,116
  6. Step 6: Final answer
    x = 294,797,592,292.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.