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Finding the Third Proportional to 12,623,968 and 27,265,748

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Solution

The third proportional to 12,623,968 and 27,265,748 is: 58,889,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,623,968 : 27,265,748 = 27,265,748 : x
  2. Step 2: Convert to fraction form
    12,623,968/27,265,748 = 27,265,748/x
  3. Step 3: Cross multiply
    12,623,968x = 27,265,748 × 27,265,748
  4. Step 4: Simplify right side
    12,623,968x = 743,421,013,999,504
  5. Step 5: Solve for x
    x = 743,421,013,999,504/12,623,968
  6. Step 6: Final answer
    x = 58,889,646.58

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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.