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Finding the Third Proportional to 397,688,099 and 864,214,416

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Solution

The third proportional to 397,688,099 and 864,214,416 is: 1,878,020,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,688,099 : 864,214,416 = 864,214,416 : x
  2. Step 2: Convert to fraction form
    397,688,099/864,214,416 = 864,214,416/x
  3. Step 3: Cross multiply
    397,688,099x = 864,214,416 × 864,214,416
  4. Step 4: Simplify right side
    397,688,099x = 746,866,556,822,221,056
  5. Step 5: Solve for x
    x = 746,866,556,822,221,056/397,688,099
  6. Step 6: Final answer
    x = 1,878,020,887.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.