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Finding the Third Proportional to 30,217,671 and 64,743,433.50

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Solution

The third proportional to 30,217,671 and 64,743,433.50 is: 138,717,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217,671 : 64,743,433.50 = 64,743,433.50 : x
  2. Step 2: Convert to fraction form
    30,217,671/64,743,433.50 = 64,743,433.50/x
  3. Step 3: Cross multiply
    30,217,671x = 64,743,433.50 × 64,743,433.50
  4. Step 4: Simplify right side
    30,217,671x = 4,191,712,181,368,922
  5. Step 5: Solve for x
    x = 4,191,712,181,368,922/30,217,671
  6. Step 6: Final answer
    x = 138,717,248.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.