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Finding the Third Proportional to 5,101,164 and 10,778,157

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Solution

The third proportional to 5,101,164 and 10,778,157 is: 22,772,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101,164 : 10,778,157 = 10,778,157 : x
  2. Step 2: Convert to fraction form
    5,101,164/10,778,157 = 10,778,157/x
  3. Step 3: Cross multiply
    5,101,164x = 10,778,157 × 10,778,157
  4. Step 4: Simplify right side
    5,101,164x = 116,168,668,316,649
  5. Step 5: Solve for x
    x = 116,168,668,316,649/5,101,164
  6. Step 6: Final answer
    x = 22,772,972.66

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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.