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Finding the Third Proportional to 63,600,216 and 137,271,216

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Solution

The third proportional to 63,600,216 and 137,271,216 is: 296,278,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,600,216 : 137,271,216 = 137,271,216 : x
  2. Step 2: Convert to fraction form
    63,600,216/137,271,216 = 137,271,216/x
  3. Step 3: Cross multiply
    63,600,216x = 137,271,216 × 137,271,216
  4. Step 4: Simplify right side
    63,600,216x = 18,843,386,742,118,656
  5. Step 5: Solve for x
    x = 18,843,386,742,118,656/63,600,216
  6. Step 6: Final answer
    x = 296,278,659.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.