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Finding the Third Proportional to 213,070,644 and 497,829,341

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Solution

The third proportional to 213,070,644 and 497,829,341 is: 1,163,154,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,070,644 : 497,829,341 = 497,829,341 : x
  2. Step 2: Convert to fraction form
    213,070,644/497,829,341 = 497,829,341/x
  3. Step 3: Cross multiply
    213,070,644x = 497,829,341 × 497,829,341
  4. Step 4: Simplify right side
    213,070,644x = 247,834,052,760,494,272
  5. Step 5: Solve for x
    x = 247,834,052,760,494,272/213,070,644
  6. Step 6: Final answer
    x = 1,163,154,379.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.