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Finding the Third Proportional to 364,027,644 and 786,234,402

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Solution

The third proportional to 364,027,644 and 786,234,402 is: 1,698,125,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,027,644 : 786,234,402 = 786,234,402 : x
  2. Step 2: Convert to fraction form
    364,027,644/786,234,402 = 786,234,402/x
  3. Step 3: Cross multiply
    364,027,644x = 786,234,402 × 786,234,402
  4. Step 4: Simplify right side
    364,027,644x = 618,164,534,888,297,600
  5. Step 5: Solve for x
    x = 618,164,534,888,297,600/364,027,644
  6. Step 6: Final answer
    x = 1,698,125,252.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.