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Finding the Third Proportional to 5,347,411 and 11,547,119

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Solution

The third proportional to 5,347,411 and 11,547,119 is: 24,934,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347,411 : 11,547,119 = 11,547,119 : x
  2. Step 2: Convert to fraction form
    5,347,411/11,547,119 = 11,547,119/x
  3. Step 3: Cross multiply
    5,347,411x = 11,547,119 × 11,547,119
  4. Step 4: Simplify right side
    5,347,411x = 133,335,957,200,161
  5. Step 5: Solve for x
    x = 133,335,957,200,161/5,347,411
  6. Step 6: Final answer
    x = 24,934,675.34

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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.