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Finding the Third Proportional to 34,312,981 and 75,427,289

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Solution

The third proportional to 34,312,981 and 75,427,289 is: 165,805,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,312,981 : 75,427,289 = 75,427,289 : x
  2. Step 2: Convert to fraction form
    34,312,981/75,427,289 = 75,427,289/x
  3. Step 3: Cross multiply
    34,312,981x = 75,427,289 × 75,427,289
  4. Step 4: Simplify right side
    34,312,981x = 5,689,275,925,889,521
  5. Step 5: Solve for x
    x = 5,689,275,925,889,521/34,312,981
  6. Step 6: Final answer
    x = 165,805,352.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.