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Finding the Third Proportional to 44,363,172,616 and 98,645,317,518

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Solution

The third proportional to 44,363,172,616 and 98,645,317,518 is: 219,346,320,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,363,172,616 : 98,645,317,518 = 98,645,317,518 : x
  2. Step 2: Convert to fraction form
    44,363,172,616/98,645,317,518 = 98,645,317,518/x
  3. Step 3: Cross multiply
    44,363,172,616x = 98,645,317,518 × 98,645,317,518
  4. Step 4: Simplify right side
    44,363,172,616x = 9,730,898,668,227,036,971,008
  5. Step 5: Solve for x
    x = 9,730,898,668,227,036,971,008/44,363,172,616
  6. Step 6: Final answer
    x = 219,346,320,256.58

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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.