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Finding the Third Proportional to 29,846,360 and 64,259,056

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Solution

The third proportional to 29,846,360 and 64,259,056 is: 138,349,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846,360 : 64,259,056 = 64,259,056 : x
  2. Step 2: Convert to fraction form
    29,846,360/64,259,056 = 64,259,056/x
  3. Step 3: Cross multiply
    29,846,360x = 64,259,056 × 64,259,056
  4. Step 4: Simplify right side
    29,846,360x = 4,129,226,278,011,136
  5. Step 5: Solve for x
    x = 4,129,226,278,011,136/29,846,360
  6. Step 6: Final answer
    x = 138,349,409.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.