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Finding the Third Proportional to 2,108,714,768 and 4,391,966,566

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Solution

The third proportional to 2,108,714,768 and 4,391,966,566 is: 9,147,453,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108,714,768 : 4,391,966,566 = 4,391,966,566 : x
  2. Step 2: Convert to fraction form
    2,108,714,768/4,391,966,566 = 4,391,966,566/x
  3. Step 3: Cross multiply
    2,108,714,768x = 4,391,966,566 × 4,391,966,566
  4. Step 4: Simplify right side
    2,108,714,768x = 19,289,370,316,861,833,216
  5. Step 5: Solve for x
    x = 19,289,370,316,861,833,216/2,108,714,768
  6. Step 6: Final answer
    x = 9,147,453,515.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.