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Finding the Third Proportional to 44,363,172,604 and 98,645,317,496

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Solution

The third proportional to 44,363,172,604 and 98,645,317,496 is: 219,346,320,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,363,172,604 : 98,645,317,496 = 98,645,317,496 : x
  2. Step 2: Convert to fraction form
    44,363,172,604/98,645,317,496 = 98,645,317,496/x
  3. Step 3: Cross multiply
    44,363,172,604x = 98,645,317,496 × 98,645,317,496
  4. Step 4: Simplify right side
    44,363,172,604x = 9,730,898,663,886,643,265,536
  5. Step 5: Solve for x
    x = 9,730,898,663,886,643,265,536/44,363,172,604
  6. Step 6: Final answer
    x = 219,346,320,218.07

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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.