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Finding the Third Proportional to 29,524,720 and 64,421,926

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Solution

The third proportional to 29,524,720 and 64,421,926 is: 140,566,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524,720 : 64,421,926 = 64,421,926 : x
  2. Step 2: Convert to fraction form
    29,524,720/64,421,926 = 64,421,926/x
  3. Step 3: Cross multiply
    29,524,720x = 64,421,926 × 64,421,926
  4. Step 4: Simplify right side
    29,524,720x = 4,150,184,549,549,476
  5. Step 5: Solve for x
    x = 4,150,184,549,549,476/29,524,720
  6. Step 6: Final answer
    x = 140,566,432.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.