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Finding the Third Proportional to 4,784,220 and 10,232,316

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Solution

The third proportional to 4,784,220 and 10,232,316 is: 21,884,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784,220 : 10,232,316 = 10,232,316 : x
  2. Step 2: Convert to fraction form
    4,784,220/10,232,316 = 10,232,316/x
  3. Step 3: Cross multiply
    4,784,220x = 10,232,316 × 10,232,316
  4. Step 4: Simplify right side
    4,784,220x = 104,700,290,723,856
  5. Step 5: Solve for x
    x = 104,700,290,723,856/4,784,220
  6. Step 6: Final answer
    x = 21,884,505.88

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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.