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Finding the Third Proportional to 13,831,470 and 22,223,403

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Solution

The third proportional to 13,831,470 and 22,223,403 is: 35,706,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831,470 : 22,223,403 = 22,223,403 : x
  2. Step 2: Convert to fraction form
    13,831,470/22,223,403 = 22,223,403/x
  3. Step 3: Cross multiply
    13,831,470x = 22,223,403 × 22,223,403
  4. Step 4: Simplify right side
    13,831,470x = 493,879,640,900,409
  5. Step 5: Solve for x
    x = 493,879,640,900,409/13,831,470
  6. Step 6: Final answer
    x = 35,706,952.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.