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Finding the Third Proportional to 10,106,617 and 15,550,280

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Solution

The third proportional to 10,106,617 and 15,550,280 is: 23,926,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,617 : 15,550,280 = 15,550,280 : x
  2. Step 2: Convert to fraction form
    10,106,617/15,550,280 = 15,550,280/x
  3. Step 3: Cross multiply
    10,106,617x = 15,550,280 × 15,550,280
  4. Step 4: Simplify right side
    10,106,617x = 241,811,208,078,400
  5. Step 5: Solve for x
    x = 241,811,208,078,400/10,106,617
  6. Step 6: Final answer
    x = 23,926,028.67

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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.