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Finding the Third Proportional to 52,060,284,294 and 73,312,352,285

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Solution

The third proportional to 52,060,284,294 and 73,312,352,285 is: 103,239,947,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,060,284,294 : 73,312,352,285 = 73,312,352,285 : x
  2. Step 2: Convert to fraction form
    52,060,284,294/73,312,352,285 = 73,312,352,285/x
  3. Step 3: Cross multiply
    52,060,284,294x = 73,312,352,285 × 73,312,352,285
  4. Step 4: Simplify right side
    52,060,284,294x = 5,374,700,997,559,944,478,720
  5. Step 5: Solve for x
    x = 5,374,700,997,559,944,478,720/52,060,284,294
  6. Step 6: Final answer
    x = 103,239,947,119.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.