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Finding the Third Proportional to 50,974,875 and 75,506,305.50

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Solution

The third proportional to 50,974,875 and 75,506,305.50 is: 111,843,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974,875 : 75,506,305.50 = 75,506,305.50 : x
  2. Step 2: Convert to fraction form
    50,974,875/75,506,305.50 = 75,506,305.50/x
  3. Step 3: Cross multiply
    50,974,875x = 75,506,305.50 × 75,506,305.50
  4. Step 4: Simplify right side
    50,974,875x = 5,701,202,170,259,330
  5. Step 5: Solve for x
    x = 5,701,202,170,259,330/50,974,875
  6. Step 6: Final answer
    x = 111,843,377.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.