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Finding the Third Proportional to 29,772,396 and 64,106,442

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Solution

The third proportional to 29,772,396 and 64,106,442 is: 138,035,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772,396 : 64,106,442 = 64,106,442 : x
  2. Step 2: Convert to fraction form
    29,772,396/64,106,442 = 64,106,442/x
  3. Step 3: Cross multiply
    29,772,396x = 64,106,442 × 64,106,442
  4. Step 4: Simplify right side
    29,772,396x = 4,109,635,905,899,364
  5. Step 5: Solve for x
    x = 4,109,635,905,899,364/29,772,396
  6. Step 6: Final answer
    x = 138,035,108.29

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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.