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Finding the Third Proportional to 566,311,902,282 and 1,213,400,976,156

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Solution

The third proportional to 566,311,902,282 and 1,213,400,976,156 is: 2,599,878,129,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,311,902,282 : 1,213,400,976,156 = 1,213,400,976,156 : x
  2. Step 2: Convert to fraction form
    566,311,902,282/1,213,400,976,156 = 1,213,400,976,156/x
  3. Step 3: Cross multiply
    566,311,902,282x = 1,213,400,976,156 × 1,213,400,976,156
  4. Step 4: Simplify right side
    566,311,902,282x = 1,472,341,928,936,333,744,537,600
  5. Step 5: Solve for x
    x = 1,472,341,928,936,333,744,537,600/566,311,902,282
  6. Step 6: Final answer
    x = 2,599,878,129,001.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.