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Finding the Third Proportional to 10,087,380 and 21,889,440

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Solution

The third proportional to 10,087,380 and 21,889,440 is: 47,499,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087,380 : 21,889,440 = 21,889,440 : x
  2. Step 2: Convert to fraction form
    10,087,380/21,889,440 = 21,889,440/x
  3. Step 3: Cross multiply
    10,087,380x = 21,889,440 × 21,889,440
  4. Step 4: Simplify right side
    10,087,380x = 479,147,583,513,600
  5. Step 5: Solve for x
    x = 479,147,583,513,600/10,087,380
  6. Step 6: Final answer
    x = 47,499,705.92

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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.