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Finding the Third Proportional to 2,037,299,328 and 4,365,031,320

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Solution

The third proportional to 2,037,299,328 and 4,365,031,320 is: 9,352,331,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,299,328 : 4,365,031,320 = 4,365,031,320 : x
  2. Step 2: Convert to fraction form
    2,037,299,328/4,365,031,320 = 4,365,031,320/x
  3. Step 3: Cross multiply
    2,037,299,328x = 4,365,031,320 × 4,365,031,320
  4. Step 4: Simplify right side
    2,037,299,328x = 19,053,498,424,580,943,872
  5. Step 5: Solve for x
    x = 19,053,498,424,580,943,872/2,037,299,328
  6. Step 6: Final answer
    x = 9,352,331,374.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.