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Finding the Third Proportional to 367,683,730 and 787,822,296

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Solution

The third proportional to 367,683,730 and 787,822,296 is: 1,688,037,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,683,730 : 787,822,296 = 787,822,296 : x
  2. Step 2: Convert to fraction form
    367,683,730/787,822,296 = 787,822,296/x
  3. Step 3: Cross multiply
    367,683,730x = 787,822,296 × 787,822,296
  4. Step 4: Simplify right side
    367,683,730x = 620,663,970,074,711,552
  5. Step 5: Solve for x
    x = 620,663,970,074,711,552/367,683,730
  6. Step 6: Final answer
    x = 1,688,037,624.28

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