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Finding the Third Proportional to 4,164,126 and 10,031,547

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Solution

The third proportional to 4,164,126 and 10,031,547 is: 24,166,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164,126 : 10,031,547 = 10,031,547 : x
  2. Step 2: Convert to fraction form
    4,164,126/10,031,547 = 10,031,547/x
  3. Step 3: Cross multiply
    4,164,126x = 10,031,547 × 10,031,547
  4. Step 4: Simplify right side
    4,164,126x = 100,631,935,213,209
  5. Step 5: Solve for x
    x = 100,631,935,213,209/4,164,126
  6. Step 6: Final answer
    x = 24,166,400.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.