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Finding the Third Proportional to 29,489,919.75 and 64,648,543.50

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Solution

The third proportional to 29,489,919.75 and 64,648,543.50 is: 141,724,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489,919.75 : 64,648,543.50 = 64,648,543.50 : x
  2. Step 2: Convert to fraction form
    29,489,919.75/64,648,543.50 = 64,648,543.50/x
  3. Step 3: Cross multiply
    29,489,919.75x = 64,648,543.50 × 64,648,543.50
  4. Step 4: Simplify right side
    29,489,919.75x = 4,179,434,176,671,392
  5. Step 5: Solve for x
    x = 4,179,434,176,671,392/29,489,919.75
  6. Step 6: Final answer
    x = 141,724,162.43

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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.