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Finding the Third Proportional to 3,492,384,976 and 5,237,294,688

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Solution

The third proportional to 3,492,384,976 and 5,237,294,688 is: 7,854,018,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492,384,976 : 5,237,294,688 = 5,237,294,688 : x
  2. Step 2: Convert to fraction form
    3,492,384,976/5,237,294,688 = 5,237,294,688/x
  3. Step 3: Cross multiply
    3,492,384,976x = 5,237,294,688 × 5,237,294,688
  4. Step 4: Simplify right side
    3,492,384,976x = 27,429,255,648,953,016,320
  5. Step 5: Solve for x
    x = 27,429,255,648,953,016,320/3,492,384,976
  6. Step 6: Final answer
    x = 7,854,018,339.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.