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Finding the Third Proportional to 10,106,594 and 15,550,243

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Solution

The third proportional to 10,106,594 and 15,550,243 is: 23,925,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,594 : 15,550,243 = 15,550,243 : x
  2. Step 2: Convert to fraction form
    10,106,594/15,550,243 = 15,550,243/x
  3. Step 3: Cross multiply
    10,106,594x = 15,550,243 × 15,550,243
  4. Step 4: Simplify right side
    10,106,594x = 241,810,057,359,049
  5. Step 5: Solve for x
    x = 241,810,057,359,049/10,106,594
  6. Step 6: Final answer
    x = 23,925,969.26

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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.