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Finding the Third Proportional to 11,497,280 and 25,035,758

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Solution

The third proportional to 11,497,280 and 25,035,758 is: 54,516,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497,280 : 25,035,758 = 25,035,758 : x
  2. Step 2: Convert to fraction form
    11,497,280/25,035,758 = 25,035,758/x
  3. Step 3: Cross multiply
    11,497,280x = 25,035,758 × 25,035,758
  4. Step 4: Simplify right side
    11,497,280x = 626,789,178,634,564
  5. Step 5: Solve for x
    x = 626,789,178,634,564/11,497,280
  6. Step 6: Final answer
    x = 54,516,301.13

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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.