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Finding the Third Proportional to 11,632,964 and 24,849,260

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Solution

The third proportional to 11,632,964 and 24,849,260 is: 53,080,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632,964 : 24,849,260 = 24,849,260 : x
  2. Step 2: Convert to fraction form
    11,632,964/24,849,260 = 24,849,260/x
  3. Step 3: Cross multiply
    11,632,964x = 24,849,260 × 24,849,260
  4. Step 4: Simplify right side
    11,632,964x = 617,485,722,547,600
  5. Step 5: Solve for x
    x = 617,485,722,547,600/11,632,964
  6. Step 6: Final answer
    x = 53,080,687.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.