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Finding the Third Proportional to 10,257,210 and 16,242,034

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Solution

The third proportional to 10,257,210 and 16,242,034 is: 25,718,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,210 : 16,242,034 = 16,242,034 : x
  2. Step 2: Convert to fraction form
    10,257,210/16,242,034 = 16,242,034/x
  3. Step 3: Cross multiply
    10,257,210x = 16,242,034 × 16,242,034
  4. Step 4: Simplify right side
    10,257,210x = 263,803,668,457,156
  5. Step 5: Solve for x
    x = 263,803,668,457,156/10,257,210
  6. Step 6: Final answer
    x = 25,718,852.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.