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Finding the Third Proportional to 34,913,972 and 75,871,261

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Solution

The third proportional to 34,913,972 and 75,871,261 is: 164,875,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,913,972 : 75,871,261 = 75,871,261 : x
  2. Step 2: Convert to fraction form
    34,913,972/75,871,261 = 75,871,261/x
  3. Step 3: Cross multiply
    34,913,972x = 75,871,261 × 75,871,261
  4. Step 4: Simplify right side
    34,913,972x = 5,756,448,245,730,121
  5. Step 5: Solve for x
    x = 5,756,448,245,730,121/34,913,972
  6. Step 6: Final answer
    x = 164,875,203.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.