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Finding the Third Proportional to 30,866,354 and 65,832,117.50

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Solution

The third proportional to 30,866,354 and 65,832,117.50 is: 140,407,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866,354 : 65,832,117.50 = 65,832,117.50 : x
  2. Step 2: Convert to fraction form
    30,866,354/65,832,117.50 = 65,832,117.50/x
  3. Step 3: Cross multiply
    30,866,354x = 65,832,117.50 × 65,832,117.50
  4. Step 4: Simplify right side
    30,866,354x = 4,333,867,694,533,806
  5. Step 5: Solve for x
    x = 4,333,867,694,533,806/30,866,354
  6. Step 6: Final answer
    x = 140,407,503.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.