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Finding the Third Proportional to 361,877,902 and 790,119,810

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Solution

The third proportional to 361,877,902 and 790,119,810 is: 1,725,137,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,877,902 : 790,119,810 = 790,119,810 : x
  2. Step 2: Convert to fraction form
    361,877,902/790,119,810 = 790,119,810/x
  3. Step 3: Cross multiply
    361,877,902x = 790,119,810 × 790,119,810
  4. Step 4: Simplify right side
    361,877,902x = 624,289,314,154,436,096
  5. Step 5: Solve for x
    x = 624,289,314,154,436,096/361,877,902
  6. Step 6: Final answer
    x = 1,725,137,983.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.