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Finding the Third Proportional to 11,354,956.50 and 24,626,547

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Solution

The third proportional to 11,354,956.50 and 24,626,547 is: 53,409,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354,956.50 : 24,626,547 = 24,626,547 : x
  2. Step 2: Convert to fraction form
    11,354,956.50/24,626,547 = 24,626,547/x
  3. Step 3: Cross multiply
    11,354,956.50x = 24,626,547 × 24,626,547
  4. Step 4: Simplify right side
    11,354,956.50x = 606,466,817,143,209
  5. Step 5: Solve for x
    x = 606,466,817,143,209/11,354,956.50
  6. Step 6: Final answer
    x = 53,409,875.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.