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Finding the Third Proportional to 367,683,730 and 787,822,294

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Solution

The third proportional to 367,683,730 and 787,822,294 is: 1,688,037,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,683,730 : 787,822,294 = 787,822,294 : x
  2. Step 2: Convert to fraction form
    367,683,730/787,822,294 = 787,822,294/x
  3. Step 3: Cross multiply
    367,683,730x = 787,822,294 × 787,822,294
  4. Step 4: Simplify right side
    367,683,730x = 620,663,966,923,422,464
  5. Step 5: Solve for x
    x = 620,663,966,923,422,464/367,683,730
  6. Step 6: Final answer
    x = 1,688,037,615.71

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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.