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Finding the Third Proportional to 370,272,924 and 796,270,500

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Solution

The third proportional to 370,272,924 and 796,270,500 is: 1,712,376,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,272,924 : 796,270,500 = 796,270,500 : x
  2. Step 2: Convert to fraction form
    370,272,924/796,270,500 = 796,270,500/x
  3. Step 3: Cross multiply
    370,272,924x = 796,270,500 × 796,270,500
  4. Step 4: Simplify right side
    370,272,924x = 634,046,709,170,249,984
  5. Step 5: Solve for x
    x = 634,046,709,170,249,984/370,272,924
  6. Step 6: Final answer
    x = 1,712,376,649.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.