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Finding the Third Proportional to 65,427,528 and 102,645,056

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Solution

The third proportional to 65,427,528 and 102,645,056 is: 161,033,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,427,528 : 102,645,056 = 102,645,056 : x
  2. Step 2: Convert to fraction form
    65,427,528/102,645,056 = 102,645,056/x
  3. Step 3: Cross multiply
    65,427,528x = 102,645,056 × 102,645,056
  4. Step 4: Simplify right side
    65,427,528x = 10,536,007,521,243,136
  5. Step 5: Solve for x
    x = 10,536,007,521,243,136/65,427,528
  6. Step 6: Final answer
    x = 161,033,250.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.