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Finding the Third Proportional to 299,663,352,570.10 and 707,151,880,524.96

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Solution

The third proportional to 299,663,352,570.10 and 707,151,880,524.96 is: 1,668,751,877,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,663,352,570.10 : 707,151,880,524.96 = 707,151,880,524.96 : x
  2. Step 2: Convert to fraction form
    299,663,352,570.10/707,151,880,524.96 = 707,151,880,524.96/x
  3. Step 3: Cross multiply
    299,663,352,570.10x = 707,151,880,524.96 × 707,151,880,524.96
  4. Step 4: Simplify right side
    299,663,352,570.10x = 500,063,782,129,987,244,523,520
  5. Step 5: Solve for x
    x = 500,063,782,129,987,244,523,520/299,663,352,570.10
  6. Step 6: Final answer
    x = 1,668,751,877,201.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.