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Finding the Third Proportional to 30,810,228 and 47,681,995.50

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Solution

The third proportional to 30,810,228 and 47,681,995.50 is: 73,792,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810,228 : 47,681,995.50 = 47,681,995.50 : x
  2. Step 2: Convert to fraction form
    30,810,228/47,681,995.50 = 47,681,995.50/x
  3. Step 3: Cross multiply
    30,810,228x = 47,681,995.50 × 47,681,995.50
  4. Step 4: Simplify right side
    30,810,228x = 2,273,572,694,862,020
  5. Step 5: Solve for x
    x = 2,273,572,694,862,020/30,810,228
  6. Step 6: Final answer
    x = 73,792,790.33

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Why These Related Problems?

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