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Finding the Third Proportional to 40,820,194,288 and 63,894,752,997

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Solution

The third proportional to 40,820,194,288 and 63,894,752,997 is: 100,012,739,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,820,194,288 : 63,894,752,997 = 63,894,752,997 : x
  2. Step 2: Convert to fraction form
    40,820,194,288/63,894,752,997 = 63,894,752,997/x
  3. Step 3: Cross multiply
    40,820,194,288x = 63,894,752,997 × 63,894,752,997
  4. Step 4: Simplify right side
    40,820,194,288x = 4,082,539,460,547,640,295,424
  5. Step 5: Solve for x
    x = 4,082,539,460,547,640,295,424/40,820,194,288
  6. Step 6: Final answer
    x = 100,012,739,570.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.