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Finding the Third Proportional to 6,057,477 and 12,966,417

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Solution

The third proportional to 6,057,477 and 12,966,417 is: 27,755,445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057,477 : 12,966,417 = 12,966,417 : x
  2. Step 2: Convert to fraction form
    6,057,477/12,966,417 = 12,966,417/x
  3. Step 3: Cross multiply
    6,057,477x = 12,966,417 × 12,966,417
  4. Step 4: Simplify right side
    6,057,477x = 168,127,969,817,889
  5. Step 5: Solve for x
    x = 168,127,969,817,889/6,057,477
  6. Step 6: Final answer
    x = 27,755,445.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.