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Finding the Third Proportional to 370,272,671 and 796,270,102

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Solution

The third proportional to 370,272,671 and 796,270,102 is: 1,712,376,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,272,671 : 796,270,102 = 796,270,102 : x
  2. Step 2: Convert to fraction form
    370,272,671/796,270,102 = 796,270,102/x
  3. Step 3: Cross multiply
    370,272,671x = 796,270,102 × 796,270,102
  4. Step 4: Simplify right side
    370,272,671x = 634,046,075,339,090,432
  5. Step 5: Solve for x
    x = 634,046,075,339,090,432/370,272,671
  6. Step 6: Final answer
    x = 1,712,376,108.20

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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.