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Finding the Third Proportional to 50,710,878 and 75,767,797.50

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Solution

The third proportional to 50,710,878 and 75,767,797.50 is: 113,205,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,710,878 : 75,767,797.50 = 75,767,797.50 : x
  2. Step 2: Convert to fraction form
    50,710,878/75,767,797.50 = 75,767,797.50/x
  3. Step 3: Cross multiply
    50,710,878x = 75,767,797.50 × 75,767,797.50
  4. Step 4: Simplify right side
    50,710,878x = 5,740,759,138,001,006
  5. Step 5: Solve for x
    x = 5,740,759,138,001,006/50,710,878
  6. Step 6: Final answer
    x = 113,205,674.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.