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Finding the Third Proportional to 5,643,306 and 12,346,740

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Solution

The third proportional to 5,643,306 and 12,346,740 is: 27,012,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643,306 : 12,346,740 = 12,346,740 : x
  2. Step 2: Convert to fraction form
    5,643,306/12,346,740 = 12,346,740/x
  3. Step 3: Cross multiply
    5,643,306x = 12,346,740 × 12,346,740
  4. Step 4: Simplify right side
    5,643,306x = 152,441,988,627,600
  5. Step 5: Solve for x
    x = 152,441,988,627,600/5,643,306
  6. Step 6: Final answer
    x = 27,012,887.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.