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Finding the Third Proportional to 3,107,369,217 and 6,656,862,354

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Solution

The third proportional to 3,107,369,217 and 6,656,862,354 is: 14,260,878,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107,369,217 : 6,656,862,354 = 6,656,862,354 : x
  2. Step 2: Convert to fraction form
    3,107,369,217/6,656,862,354 = 6,656,862,354/x
  3. Step 3: Cross multiply
    3,107,369,217x = 6,656,862,354 × 6,656,862,354
  4. Step 4: Simplify right side
    3,107,369,217x = 44,313,816,400,102,424,576
  5. Step 5: Solve for x
    x = 44,313,816,400,102,424,576/3,107,369,217
  6. Step 6: Final answer
    x = 14,260,878,996.18

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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.