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Finding the Third Proportional to 346,730,286 and 475,451,466

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Solution

The third proportional to 346,730,286 and 475,451,466 is: 651,959,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,730,286 : 475,451,466 = 475,451,466 : x
  2. Step 2: Convert to fraction form
    346,730,286/475,451,466 = 475,451,466/x
  3. Step 3: Cross multiply
    346,730,286x = 475,451,466 × 475,451,466
  4. Step 4: Simplify right side
    346,730,286x = 226,054,096,521,549,152
  5. Step 5: Solve for x
    x = 226,054,096,521,549,152/346,730,286
  6. Step 6: Final answer
    x = 651,959,478.73

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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.