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Finding the Third Proportional to 51,164,496 and 78,722,899

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Solution

The third proportional to 51,164,496 and 78,722,899 is: 121,124,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164,496 : 78,722,899 = 78,722,899 : x
  2. Step 2: Convert to fraction form
    51,164,496/78,722,899 = 78,722,899/x
  3. Step 3: Cross multiply
    51,164,496x = 78,722,899 × 78,722,899
  4. Step 4: Simplify right side
    51,164,496x = 6,197,294,826,964,201
  5. Step 5: Solve for x
    x = 6,197,294,826,964,201/51,164,496
  6. Step 6: Final answer
    x = 121,124,907.14

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Why These Related Problems?

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