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Finding the Third Proportional to 31,920,925.50 and 49,528,158.75

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Solution

The third proportional to 31,920,925.50 and 49,528,158.75 is: 76,847,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920,925.50 : 49,528,158.75 = 49,528,158.75 : x
  2. Step 2: Convert to fraction form
    31,920,925.50/49,528,158.75 = 49,528,158.75/x
  3. Step 3: Cross multiply
    31,920,925.50x = 49,528,158.75 × 49,528,158.75
  4. Step 4: Simplify right side
    31,920,925.50x = 2,453,038,509,165,201.50
  5. Step 5: Solve for x
    x = 2,453,038,509,165,201.50/31,920,925.50
  6. Step 6: Final answer
    x = 76,847,349.22

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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.