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Finding the Third Proportional to 39,675,158.16 and 61,280,643.38

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Solution

The third proportional to 39,675,158.16 and 61,280,643.38 is: 94,651,601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,675,158.16 : 61,280,643.38 = 61,280,643.38 : x
  2. Step 2: Convert to fraction form
    39,675,158.16/61,280,643.38 = 61,280,643.38/x
  3. Step 3: Cross multiply
    39,675,158.16x = 61,280,643.38 × 61,280,643.38
  4. Step 4: Simplify right side
    39,675,158.16x = 3,755,317,252,453,931.50
  5. Step 5: Solve for x
    x = 3,755,317,252,453,931.50/39,675,158.16
  6. Step 6: Final answer
    x = 94,651,601.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.