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Finding the Third Proportional to 5,911,364 and 12,706,780

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Solution

The third proportional to 5,911,364 and 12,706,780 is: 27,313,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911,364 : 12,706,780 = 12,706,780 : x
  2. Step 2: Convert to fraction form
    5,911,364/12,706,780 = 12,706,780/x
  3. Step 3: Cross multiply
    5,911,364x = 12,706,780 × 12,706,780
  4. Step 4: Simplify right side
    5,911,364x = 161,462,257,968,400
  5. Step 5: Solve for x
    x = 161,462,257,968,400/5,911,364
  6. Step 6: Final answer
    x = 27,313,875.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.