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Finding the Third Proportional to 10,334,976 and 22,249,329

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Solution

The third proportional to 10,334,976 and 22,249,329 is: 47,898,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334,976 : 22,249,329 = 22,249,329 : x
  2. Step 2: Convert to fraction form
    10,334,976/22,249,329 = 22,249,329/x
  3. Step 3: Cross multiply
    10,334,976x = 22,249,329 × 22,249,329
  4. Step 4: Simplify right side
    10,334,976x = 495,032,640,950,241
  5. Step 5: Solve for x
    x = 495,032,640,950,241/10,334,976
  6. Step 6: Final answer
    x = 47,898,770.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.