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Finding the Third Proportional to 52,221,925,016 and 78,388,160,668

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Solution

The third proportional to 52,221,925,016 and 78,388,160,668 is: 117,665,209,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,221,925,016 : 78,388,160,668 = 78,388,160,668 : x
  2. Step 2: Convert to fraction form
    52,221,925,016/78,388,160,668 = 78,388,160,668/x
  3. Step 3: Cross multiply
    52,221,925,016x = 78,388,160,668 × 78,388,160,668
  4. Step 4: Simplify right side
    52,221,925,016x = 6,144,703,732,912,182,263,808
  5. Step 5: Solve for x
    x = 6,144,703,732,912,182,263,808/52,221,925,016
  6. Step 6: Final answer
    x = 117,665,209,220.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.