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Finding the Third Proportional to 380,814,493.18 and 829,234,769.10

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Solution

The third proportional to 380,814,493.18 and 829,234,769.10 is: 1,805,683,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,814,493.18 : 829,234,769.10 = 829,234,769.10 : x
  2. Step 2: Convert to fraction form
    380,814,493.18/829,234,769.10 = 829,234,769.10/x
  3. Step 3: Cross multiply
    380,814,493.18x = 829,234,769.10 × 829,234,769.10
  4. Step 4: Simplify right side
    380,814,493.18x = 687,630,302,280,433,024
  5. Step 5: Solve for x
    x = 687,630,302,280,433,024/380,814,493.18
  6. Step 6: Final answer
    x = 1,805,683,120.23

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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.