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Finding the Third Proportional to 52,706,315,464 and 80,294,425,828

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Solution

The third proportional to 52,706,315,464 and 80,294,425,828 is: 122,323,003,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706,315,464 : 80,294,425,828 = 80,294,425,828 : x
  2. Step 2: Convert to fraction form
    52,706,315,464/80,294,425,828 = 80,294,425,828/x
  3. Step 3: Cross multiply
    52,706,315,464x = 80,294,425,828 × 80,294,425,828
  4. Step 4: Simplify right side
    52,706,315,464x = 6,447,194,819,048,193,916,928
  5. Step 5: Solve for x
    x = 6,447,194,819,048,193,916,928/52,706,315,464
  6. Step 6: Final answer
    x = 122,323,003,653.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.