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Finding the Third Proportional to 216,211,629 and 466,435,428

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Solution

The third proportional to 216,211,629 and 466,435,428 is: 1,006,245,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,211,629 : 466,435,428 = 466,435,428 : x
  2. Step 2: Convert to fraction form
    216,211,629/466,435,428 = 466,435,428/x
  3. Step 3: Cross multiply
    216,211,629x = 466,435,428 × 466,435,428
  4. Step 4: Simplify right side
    216,211,629x = 217,562,008,493,543,168
  5. Step 5: Solve for x
    x = 217,562,008,493,543,168/216,211,629
  6. Step 6: Final answer
    x = 1,006,245,637.66

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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.