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Finding the Third Proportional to 4,107,050,328 and 8,966,708,376

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Solution

The third proportional to 4,107,050,328 and 8,966,708,376 is: 19,576,545,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,050,328 : 8,966,708,376 = 8,966,708,376 : x
  2. Step 2: Convert to fraction form
    4,107,050,328/8,966,708,376 = 8,966,708,376/x
  3. Step 3: Cross multiply
    4,107,050,328x = 8,966,708,376 × 8,966,708,376
  4. Step 4: Simplify right side
    4,107,050,328x = 80,401,859,100,228,550,656
  5. Step 5: Solve for x
    x = 80,401,859,100,228,550,656/4,107,050,328
  6. Step 6: Final answer
    x = 19,576,545,861.17

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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.