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Finding the Third Proportional to 4,778,112 and 10,316,316

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Solution

The third proportional to 4,778,112 and 10,316,316 is: 22,273,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778,112 : 10,316,316 = 10,316,316 : x
  2. Step 2: Convert to fraction form
    4,778,112/10,316,316 = 10,316,316/x
  3. Step 3: Cross multiply
    4,778,112x = 10,316,316 × 10,316,316
  4. Step 4: Simplify right side
    4,778,112x = 106,426,375,811,856
  5. Step 5: Solve for x
    x = 106,426,375,811,856/4,778,112
  6. Step 6: Final answer
    x = 22,273,729.84

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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.