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Finding the Third Proportional to 216,211,637 and 466,435,444

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Solution

The third proportional to 216,211,637 and 466,435,444 is: 1,006,245,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,211,637 : 466,435,444 = 466,435,444 : x
  2. Step 2: Convert to fraction form
    216,211,637/466,435,444 = 466,435,444/x
  3. Step 3: Cross multiply
    216,211,637x = 466,435,444 × 466,435,444
  4. Step 4: Simplify right side
    216,211,637x = 217,562,023,419,477,120
  5. Step 5: Solve for x
    x = 217,562,023,419,477,120/216,211,637
  6. Step 6: Final answer
    x = 1,006,245,669.47

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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.