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Finding the Third Proportional to 216,564,410 and 467,645,431

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Solution

The third proportional to 216,564,410 and 467,645,431 is: 1,009,825,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,564,410 : 467,645,431 = 467,645,431 : x
  2. Step 2: Convert to fraction form
    216,564,410/467,645,431 = 467,645,431/x
  3. Step 3: Cross multiply
    216,564,410x = 467,645,431 × 467,645,431
  4. Step 4: Simplify right side
    216,564,410x = 218,692,249,135,175,776
  5. Step 5: Solve for x
    x = 218,692,249,135,175,776/216,564,410
  6. Step 6: Final answer
    x = 1,009,825,433.16

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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.