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Finding the Third Proportional to 44,636,584,074 and 96,373,878,674.25

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Solution

The third proportional to 44,636,584,074 and 96,373,878,674.25 is: 208,078,747,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,636,584,074 : 96,373,878,674.25 = 96,373,878,674.25 : x
  2. Step 2: Convert to fraction form
    44,636,584,074/96,373,878,674.25 = 96,373,878,674.25/x
  3. Step 3: Cross multiply
    44,636,584,074x = 96,373,878,674.25 × 96,373,878,674.25
  4. Step 4: Simplify right side
    44,636,584,074x = 9,287,924,490,719,058,722,816
  5. Step 5: Solve for x
    x = 9,287,924,490,719,058,722,816/44,636,584,074
  6. Step 6: Final answer
    x = 208,078,747,139.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.