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Finding the Third Proportional to 9,688,000 and 22,837,330

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Solution

The third proportional to 9,688,000 and 22,837,330 is: 53,833,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688,000 : 22,837,330 = 22,837,330 : x
  2. Step 2: Convert to fraction form
    9,688,000/22,837,330 = 22,837,330/x
  3. Step 3: Cross multiply
    9,688,000x = 22,837,330 × 22,837,330
  4. Step 4: Simplify right side
    9,688,000x = 521,543,641,528,900
  5. Step 5: Solve for x
    x = 521,543,641,528,900/9,688,000
  6. Step 6: Final answer
    x = 53,833,984.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.