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Finding the Third Proportional to 6,518,130 and 9,577,421

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Solution

The third proportional to 6,518,130 and 9,577,421 is: 14,072,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518,130 : 9,577,421 = 9,577,421 : x
  2. Step 2: Convert to fraction form
    6,518,130/9,577,421 = 9,577,421/x
  3. Step 3: Cross multiply
    6,518,130x = 9,577,421 × 9,577,421
  4. Step 4: Simplify right side
    6,518,130x = 91,726,993,011,241
  5. Step 5: Solve for x
    x = 91,726,993,011,241/6,518,130
  6. Step 6: Final answer
    x = 14,072,593.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.