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Finding the Third Proportional to 39,746,976.75 and 59,819,482.13

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Solution

The third proportional to 39,746,976.75 and 59,819,482.13 is: 90,028,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,746,976.75 : 59,819,482.13 = 59,819,482.13 : x
  2. Step 2: Convert to fraction form
    39,746,976.75/59,819,482.13 = 59,819,482.13/x
  3. Step 3: Cross multiply
    39,746,976.75x = 59,819,482.13 × 59,819,482.13
  4. Step 4: Simplify right side
    39,746,976.75x = 3,578,370,441,703,194.50
  5. Step 5: Solve for x
    x = 3,578,370,441,703,194.50/39,746,976.75
  6. Step 6: Final answer
    x = 90,028,745.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.