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Finding the Third Proportional to 6,349,590 and 9,583,434

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Solution

The third proportional to 6,349,590 and 9,583,434 is: 14,464,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349,590 : 9,583,434 = 9,583,434 : x
  2. Step 2: Convert to fraction form
    6,349,590/9,583,434 = 9,583,434/x
  3. Step 3: Cross multiply
    6,349,590x = 9,583,434 × 9,583,434
  4. Step 4: Simplify right side
    6,349,590x = 91,842,207,232,356
  5. Step 5: Solve for x
    x = 91,842,207,232,356/6,349,590
  6. Step 6: Final answer
    x = 14,464,273.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.