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Finding the Third Proportional to 10,106,541 and 15,550,160

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Solution

The third proportional to 10,106,541 and 15,550,160 is: 23,925,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,541 : 15,550,160 = 15,550,160 : x
  2. Step 2: Convert to fraction form
    10,106,541/15,550,160 = 15,550,160/x
  3. Step 3: Cross multiply
    10,106,541x = 15,550,160 × 15,550,160
  4. Step 4: Simplify right side
    10,106,541x = 241,807,476,025,600
  5. Step 5: Solve for x
    x = 241,807,476,025,600/10,106,541
  6. Step 6: Final answer
    x = 23,925,839.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.