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Finding the Third Proportional to 52,706,315,454 and 80,294,425,813

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Solution

The third proportional to 52,706,315,454 and 80,294,425,813 is: 122,323,003,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706,315,454 : 80,294,425,813 = 80,294,425,813 : x
  2. Step 2: Convert to fraction form
    52,706,315,454/80,294,425,813 = 80,294,425,813/x
  3. Step 3: Cross multiply
    52,706,315,454x = 80,294,425,813 × 80,294,425,813
  4. Step 4: Simplify right side
    52,706,315,454x = 6,447,194,816,639,361,089,536
  5. Step 5: Solve for x
    x = 6,447,194,816,639,361,089,536/52,706,315,454
  6. Step 6: Final answer
    x = 122,323,003,630.68

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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.