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Finding the Third Proportional to 63,221,488,170 and 136,519,385,160

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Solution

The third proportional to 63,221,488,170 and 136,519,385,160 is: 294,797,592,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,221,488,170 : 136,519,385,160 = 136,519,385,160 : x
  2. Step 2: Convert to fraction form
    63,221,488,170/136,519,385,160 = 136,519,385,160/x
  3. Step 3: Cross multiply
    63,221,488,170x = 136,519,385,160 × 136,519,385,160
  4. Step 4: Simplify right side
    63,221,488,170x = 18,637,542,524,464,427,696,128
  5. Step 5: Solve for x
    x = 18,637,542,524,464,427,696,128/63,221,488,170
  6. Step 6: Final answer
    x = 294,797,592,779.67

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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.