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Finding the Third Proportional to 54,759,574 and 81,968,775

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Solution

The third proportional to 54,759,574 and 81,968,775 is: 122,697,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,759,574 : 81,968,775 = 81,968,775 : x
  2. Step 2: Convert to fraction form
    54,759,574/81,968,775 = 81,968,775/x
  3. Step 3: Cross multiply
    54,759,574x = 81,968,775 × 81,968,775
  4. Step 4: Simplify right side
    54,759,574x = 6,718,880,075,000,625
  5. Step 5: Solve for x
    x = 6,718,880,075,000,625/54,759,574
  6. Step 6: Final answer
    x = 122,697,814.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.