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Finding the Third Proportional to 29,652,374 and 64,973,452

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Solution

The third proportional to 29,652,374 and 64,973,452 is: 142,368,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,652,374 : 64,973,452 = 64,973,452 : x
  2. Step 2: Convert to fraction form
    29,652,374/64,973,452 = 64,973,452/x
  3. Step 3: Cross multiply
    29,652,374x = 64,973,452 × 64,973,452
  4. Step 4: Simplify right side
    29,652,374x = 4,221,549,464,796,304
  5. Step 5: Solve for x
    x = 4,221,549,464,796,304/29,652,374
  6. Step 6: Final answer
    x = 142,368,009.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.