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Finding the Third Proportional to 320,329,746 and 699,376,064

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Solution

The third proportional to 320,329,746 and 699,376,064 is: 1,526,948,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,329,746 : 699,376,064 = 699,376,064 : x
  2. Step 2: Convert to fraction form
    320,329,746/699,376,064 = 699,376,064/x
  3. Step 3: Cross multiply
    320,329,746x = 699,376,064 × 699,376,064
  4. Step 4: Simplify right side
    320,329,746x = 489,126,878,896,132,096
  5. Step 5: Solve for x
    x = 489,126,878,896,132,096/320,329,746
  6. Step 6: Final answer
    x = 1,526,948,043.40

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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.