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Finding the Third Proportional to 10,914,480 and 23,765,298.75

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Solution

The third proportional to 10,914,480 and 23,765,298.75 is: 51,746,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914,480 : 23,765,298.75 = 23,765,298.75 : x
  2. Step 2: Convert to fraction form
    10,914,480/23,765,298.75 = 23,765,298.75/x
  3. Step 3: Cross multiply
    10,914,480x = 23,765,298.75 × 23,765,298.75
  4. Step 4: Simplify right side
    10,914,480x = 564,789,424,676,751.50
  5. Step 5: Solve for x
    x = 564,789,424,676,751.50/10,914,480
  6. Step 6: Final answer
    x = 51,746,801.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.