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Finding the Third Proportional to 10,475,184 and 22,602,912

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Solution

The third proportional to 10,475,184 and 22,602,912 is: 48,771,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475,184 : 22,602,912 = 22,602,912 : x
  2. Step 2: Convert to fraction form
    10,475,184/22,602,912 = 22,602,912/x
  3. Step 3: Cross multiply
    10,475,184x = 22,602,912 × 22,602,912
  4. Step 4: Simplify right side
    10,475,184x = 510,891,630,879,744
  5. Step 5: Solve for x
    x = 510,891,630,879,744/10,475,184
  6. Step 6: Final answer
    x = 48,771,614.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.