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Finding the Third Proportional to 346,730,282 and 475,451,463

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Solution

The third proportional to 346,730,282 and 475,451,463 is: 651,959,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,730,282 : 475,451,463 = 475,451,463 : x
  2. Step 2: Convert to fraction form
    346,730,282/475,451,463 = 475,451,463/x
  3. Step 3: Cross multiply
    346,730,282x = 475,451,463 × 475,451,463
  4. Step 4: Simplify right side
    346,730,282x = 226,054,093,668,840,384
  5. Step 5: Solve for x
    x = 226,054,093,668,840,384/346,730,282
  6. Step 6: Final answer
    x = 651,959,478.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.