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Finding the Third Proportional to 30,300,081.75 and 47,013,220.13

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Solution

The third proportional to 30,300,081.75 and 47,013,220.13 is: 72,945,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300,081.75 : 47,013,220.13 = 47,013,220.13 : x
  2. Step 2: Convert to fraction form
    30,300,081.75/47,013,220.13 = 47,013,220.13/x
  3. Step 3: Cross multiply
    30,300,081.75x = 47,013,220.13 × 47,013,220.13
  4. Step 4: Simplify right side
    30,300,081.75x = 2,210,242,866,521,705
  5. Step 5: Solve for x
    x = 2,210,242,866,521,705/30,300,081.75
  6. Step 6: Final answer
    x = 72,945,112.32

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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.