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Finding the Third Proportional to 6,577,114 and 14,349,410

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Solution

The third proportional to 6,577,114 and 14,349,410 is: 31,306,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577,114 : 14,349,410 = 14,349,410 : x
  2. Step 2: Convert to fraction form
    6,577,114/14,349,410 = 14,349,410/x
  3. Step 3: Cross multiply
    6,577,114x = 14,349,410 × 14,349,410
  4. Step 4: Simplify right side
    6,577,114x = 205,905,567,348,100
  5. Step 5: Solve for x
    x = 205,905,567,348,100/6,577,114
  6. Step 6: Final answer
    x = 31,306,370.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.