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Finding the Third Proportional to 213,953,690,496 and 466,350,776,656

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Solution

The third proportional to 213,953,690,496 and 466,350,776,656 is: 1,016,495,889,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,953,690,496 : 466,350,776,656 = 466,350,776,656 : x
  2. Step 2: Convert to fraction form
    213,953,690,496/466,350,776,656 = 466,350,776,656/x
  3. Step 3: Cross multiply
    213,953,690,496x = 466,350,776,656 × 466,350,776,656
  4. Step 4: Simplify right side
    213,953,690,496x = 217,483,046,887,654,397,313,024
  5. Step 5: Solve for x
    x = 217,483,046,887,654,397,313,024/213,953,690,496
  6. Step 6: Final answer
    x = 1,016,495,889,290.21

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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.