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Finding the Third Proportional to 11,817,502 and 25,705,547

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Solution

The third proportional to 11,817,502 and 25,705,547 is: 55,914,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817,502 : 25,705,547 = 25,705,547 : x
  2. Step 2: Convert to fraction form
    11,817,502/25,705,547 = 25,705,547/x
  3. Step 3: Cross multiply
    11,817,502x = 25,705,547 × 25,705,547
  4. Step 4: Simplify right side
    11,817,502x = 660,775,146,569,209
  5. Step 5: Solve for x
    x = 660,775,146,569,209/11,817,502
  6. Step 6: Final answer
    x = 55,914,959.57

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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.