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Finding the Third Proportional to 3,294,777,148.50 and 5,019,252,564

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Solution

The third proportional to 3,294,777,148.50 and 5,019,252,564 is: 7,646,312,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294,777,148.50 : 5,019,252,564 = 5,019,252,564 : x
  2. Step 2: Convert to fraction form
    3,294,777,148.50/5,019,252,564 = 5,019,252,564/x
  3. Step 3: Cross multiply
    3,294,777,148.50x = 5,019,252,564 × 5,019,252,564
  4. Step 4: Simplify right side
    3,294,777,148.50x = 25,192,896,301,220,573,184
  5. Step 5: Solve for x
    x = 25,192,896,301,220,573,184/3,294,777,148.50
  6. Step 6: Final answer
    x = 7,646,312,683.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.