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Finding the Third Proportional to 29,646,275 and 64,241,056

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Solution

The third proportional to 29,646,275 and 64,241,056 is: 139,205,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646,275 : 64,241,056 = 64,241,056 : x
  2. Step 2: Convert to fraction form
    29,646,275/64,241,056 = 64,241,056/x
  3. Step 3: Cross multiply
    29,646,275x = 64,241,056 × 64,241,056
  4. Step 4: Simplify right side
    29,646,275x = 4,126,913,275,995,136
  5. Step 5: Solve for x
    x = 4,126,913,275,995,136/29,646,275
  6. Step 6: Final answer
    x = 139,205,120.24

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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.