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Finding the Third Proportional to 2,037,299,332 and 4,365,031,328

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Solution

The third proportional to 2,037,299,332 and 4,365,031,328 is: 9,352,331,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,299,332 : 4,365,031,328 = 4,365,031,328 : x
  2. Step 2: Convert to fraction form
    2,037,299,332/4,365,031,328 = 4,365,031,328/x
  3. Step 3: Cross multiply
    2,037,299,332x = 4,365,031,328 × 4,365,031,328
  4. Step 4: Simplify right side
    2,037,299,332x = 19,053,498,494,421,442,560
  5. Step 5: Solve for x
    x = 19,053,498,494,421,442,560/2,037,299,332
  6. Step 6: Final answer
    x = 9,352,331,390.46

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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.