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Finding the Third Proportional to 6,577,088 and 14,349,388

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Solution

The third proportional to 6,577,088 and 14,349,388 is: 31,306,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577,088 : 14,349,388 = 14,349,388 : x
  2. Step 2: Convert to fraction form
    6,577,088/14,349,388 = 14,349,388/x
  3. Step 3: Cross multiply
    6,577,088x = 14,349,388 × 14,349,388
  4. Step 4: Simplify right side
    6,577,088x = 205,904,935,974,544
  5. Step 5: Solve for x
    x = 205,904,935,974,544/6,577,088
  6. Step 6: Final answer
    x = 31,306,398.21

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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.