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Finding the Third Proportional to 213,509,712 and 466,175,478

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Solution

The third proportional to 213,509,712 and 466,175,478 is: 1,017,843,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,509,712 : 466,175,478 = 466,175,478 : x
  2. Step 2: Convert to fraction form
    213,509,712/466,175,478 = 466,175,478/x
  3. Step 3: Cross multiply
    213,509,712x = 466,175,478 × 466,175,478
  4. Step 4: Simplify right side
    213,509,712x = 217,319,576,288,528,480
  5. Step 5: Solve for x
    x = 217,319,576,288,528,480/213,509,712
  6. Step 6: Final answer
    x = 1,017,843,985.89

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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.