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Finding the Third Proportional to 29,124,240,556,332 and 63,375,520,670,896

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Solution

The third proportional to 29,124,240,556,332 and 63,375,520,670,896 is: 137,907,685,954,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124,240,556,332 : 63,375,520,670,896 = 63,375,520,670,896 : x
  2. Step 2: Convert to fraction form
    29,124,240,556,332/63,375,520,670,896 = 63,375,520,670,896/x
  3. Step 3: Cross multiply
    29,124,240,556,332x = 63,375,520,670,896 × 63,375,520,670,896
  4. Step 4: Simplify right side
    29,124,240,556,332x = 4,016,456,620,307,166,321,581,228,032
  5. Step 5: Solve for x
    x = 4,016,456,620,307,166,321,581,228,032/29,124,240,556,332
  6. Step 6: Final answer
    x = 137,907,685,954,541.91

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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.