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Finding the Third Proportional to 29,944,933,164 and 46,515,506,735.25

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Solution

The third proportional to 29,944,933,164 and 46,515,506,735.25 is: 72,255,708,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,944,933,164 : 46,515,506,735.25 = 46,515,506,735.25 : x
  2. Step 2: Convert to fraction form
    29,944,933,164/46,515,506,735.25 = 46,515,506,735.25/x
  3. Step 3: Cross multiply
    29,944,933,164x = 46,515,506,735.25 × 46,515,506,735.25
  4. Step 4: Simplify right side
    29,944,933,164x = 2,163,692,366,837,087,993,856
  5. Step 5: Solve for x
    x = 2,163,692,366,837,087,993,856/29,944,933,164
  6. Step 6: Final answer
    x = 72,255,708,669.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.