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Finding the Third Proportional to 10,746,678 and 22,706,316

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Solution

The third proportional to 10,746,678 and 22,706,316 is: 47,975,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746,678 : 22,706,316 = 22,706,316 : x
  2. Step 2: Convert to fraction form
    10,746,678/22,706,316 = 22,706,316/x
  3. Step 3: Cross multiply
    10,746,678x = 22,706,316 × 22,706,316
  4. Step 4: Simplify right side
    10,746,678x = 515,576,786,291,856
  5. Step 5: Solve for x
    x = 515,576,786,291,856/10,746,678
  6. Step 6: Final answer
    x = 47,975,456.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.