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Finding the Third Proportional to 34,913,959 and 75,871,236

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Solution

The third proportional to 34,913,959 and 75,871,236 is: 164,875,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,913,959 : 75,871,236 = 75,871,236 : x
  2. Step 2: Convert to fraction form
    34,913,959/75,871,236 = 75,871,236/x
  3. Step 3: Cross multiply
    34,913,959x = 75,871,236 × 75,871,236
  4. Step 4: Simplify right side
    34,913,959x = 5,756,444,452,167,696
  5. Step 5: Solve for x
    x = 5,756,444,452,167,696/34,913,959
  6. Step 6: Final answer
    x = 164,875,156.44

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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.