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Finding the Third Proportional to 44,363,172,624 and 98,645,317,533

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Solution

The third proportional to 44,363,172,624 and 98,645,317,533 is: 219,346,320,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,363,172,624 : 98,645,317,533 = 98,645,317,533 : x
  2. Step 2: Convert to fraction form
    44,363,172,624/98,645,317,533 = 98,645,317,533/x
  3. Step 3: Cross multiply
    44,363,172,624x = 98,645,317,533 × 98,645,317,533
  4. Step 4: Simplify right side
    44,363,172,624x = 9,730,898,671,186,397,364,224
  5. Step 5: Solve for x
    x = 9,730,898,671,186,397,364,224/44,363,172,624
  6. Step 6: Final answer
    x = 219,346,320,283.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.