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Finding the Third Proportional to 216,466,753 and 472,611,947

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Solution

The third proportional to 216,466,753 and 472,611,947 is: 1,031,853,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,466,753 : 472,611,947 = 472,611,947 : x
  2. Step 2: Convert to fraction form
    216,466,753/472,611,947 = 472,611,947/x
  3. Step 3: Cross multiply
    216,466,753x = 472,611,947 × 472,611,947
  4. Step 4: Simplify right side
    216,466,753x = 223,362,052,447,130,816
  5. Step 5: Solve for x
    x = 223,362,052,447,130,816/216,466,753
  6. Step 6: Final answer
    x = 1,031,853,849.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.