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Finding the Third Proportional to 44,516,058,045 and 96,005,488,062

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Solution

The third proportional to 44,516,058,045 and 96,005,488,062 is: 207,050,088,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,516,058,045 : 96,005,488,062 = 96,005,488,062 : x
  2. Step 2: Convert to fraction form
    44,516,058,045/96,005,488,062 = 96,005,488,062/x
  3. Step 3: Cross multiply
    44,516,058,045x = 96,005,488,062 × 96,005,488,062
  4. Step 4: Simplify right side
    44,516,058,045x = 9,217,053,738,022,824,050,688
  5. Step 5: Solve for x
    x = 9,217,053,738,022,824,050,688/44,516,058,045
  6. Step 6: Final answer
    x = 207,050,088,053.74

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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.