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Finding the Third Proportional to 213,953,690,500 and 466,350,776,664

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Solution

The third proportional to 213,953,690,500 and 466,350,776,664 is: 1,016,495,889,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,953,690,500 : 466,350,776,664 = 466,350,776,664 : x
  2. Step 2: Convert to fraction form
    213,953,690,500/466,350,776,664 = 466,350,776,664/x
  3. Step 3: Cross multiply
    213,953,690,500x = 466,350,776,664 × 466,350,776,664
  4. Step 4: Simplify right side
    213,953,690,500x = 217,483,046,895,115,997,020,160
  5. Step 5: Solve for x
    x = 217,483,046,895,115,997,020,160/213,953,690,500
  6. Step 6: Final answer
    x = 1,016,495,889,306.08

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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.