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Finding the Third Proportional to 34,246,235 and 51,659,657

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Solution

The third proportional to 34,246,235 and 51,659,657 is: 77,927,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,246,235 : 51,659,657 = 51,659,657 : x
  2. Step 2: Convert to fraction form
    34,246,235/51,659,657 = 51,659,657/x
  3. Step 3: Cross multiply
    34,246,235x = 51,659,657 × 51,659,657
  4. Step 4: Simplify right side
    34,246,235x = 2,668,720,161,357,649
  5. Step 5: Solve for x
    x = 2,668,720,161,357,649/34,246,235
  6. Step 6: Final answer
    x = 77,927,403.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.