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Finding the Third Proportional to 63,221,488,164 and 136,519,385,148

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Solution

The third proportional to 63,221,488,164 and 136,519,385,148 is: 294,797,592,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,221,488,164 : 136,519,385,148 = 136,519,385,148 : x
  2. Step 2: Convert to fraction form
    63,221,488,164/136,519,385,148 = 136,519,385,148/x
  3. Step 3: Cross multiply
    63,221,488,164x = 136,519,385,148 × 136,519,385,148
  4. Step 4: Simplify right side
    63,221,488,164x = 18,637,542,521,187,963,240,448
  5. Step 5: Solve for x
    x = 18,637,542,521,187,963,240,448/63,221,488,164
  6. Step 6: Final answer
    x = 294,797,592,755.82

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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.