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Finding the Third Proportional to 10,222,875,171 and 15,277,968,849

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Solution

The third proportional to 10,222,875,171 and 15,277,968,849 is: 22,832,747,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222,875,171 : 15,277,968,849 = 15,277,968,849 : x
  2. Step 2: Convert to fraction form
    10,222,875,171/15,277,968,849 = 15,277,968,849/x
  3. Step 3: Cross multiply
    10,222,875,171x = 15,277,968,849 × 15,277,968,849
  4. Step 4: Simplify right side
    10,222,875,171x = 233,416,332,151,014,391,808
  5. Step 5: Solve for x
    x = 233,416,332,151,014,391,808/10,222,875,171
  6. Step 6: Final answer
    x = 22,832,747,954.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.