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Finding the Third Proportional to 51,719,116 and 77,436,222

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Solution

The third proportional to 51,719,116 and 77,436,222 is: 115,941,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,719,116 : 77,436,222 = 77,436,222 : x
  2. Step 2: Convert to fraction form
    51,719,116/77,436,222 = 77,436,222/x
  3. Step 3: Cross multiply
    51,719,116x = 77,436,222 × 77,436,222
  4. Step 4: Simplify right side
    51,719,116x = 5,996,368,477,633,284
  5. Step 5: Solve for x
    x = 5,996,368,477,633,284/51,719,116
  6. Step 6: Final answer
    x = 115,941,047.36

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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.