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Finding the Third Proportional to 4,210,850 and 9,261,316

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Solution

The third proportional to 4,210,850 and 9,261,316 is: 20,369,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210,850 : 9,261,316 = 9,261,316 : x
  2. Step 2: Convert to fraction form
    4,210,850/9,261,316 = 9,261,316/x
  3. Step 3: Cross multiply
    4,210,850x = 9,261,316 × 9,261,316
  4. Step 4: Simplify right side
    4,210,850x = 85,771,974,051,856
  5. Step 5: Solve for x
    x = 85,771,974,051,856/4,210,850
  6. Step 6: Final answer
    x = 20,369,277.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.