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Finding the Third Proportional to 5,880,798 and 12,662,701

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Solution

The third proportional to 5,880,798 and 12,662,701 is: 27,265,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880,798 : 12,662,701 = 12,662,701 : x
  2. Step 2: Convert to fraction form
    5,880,798/12,662,701 = 12,662,701/x
  3. Step 3: Cross multiply
    5,880,798x = 12,662,701 × 12,662,701
  4. Step 4: Simplify right side
    5,880,798x = 160,343,996,615,401
  5. Step 5: Solve for x
    x = 160,343,996,615,401/5,880,798
  6. Step 6: Final answer
    x = 27,265,686.84

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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.