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Finding the Third Proportional to 30,648,362 and 45,888,135

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Solution

The third proportional to 30,648,362 and 45,888,135 is: 68,705,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648,362 : 45,888,135 = 45,888,135 : x
  2. Step 2: Convert to fraction form
    30,648,362/45,888,135 = 45,888,135/x
  3. Step 3: Cross multiply
    30,648,362x = 45,888,135 × 45,888,135
  4. Step 4: Simplify right side
    30,648,362x = 2,105,720,933,778,225
  5. Step 5: Solve for x
    x = 2,105,720,933,778,225/30,648,362
  6. Step 6: Final answer
    x = 68,705,822.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.