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Finding the Third Proportional to 3,046,463 and 6,569,009

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Solution

The third proportional to 3,046,463 and 6,569,009 is: 14,164,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046,463 : 6,569,009 = 6,569,009 : x
  2. Step 2: Convert to fraction form
    3,046,463/6,569,009 = 6,569,009/x
  3. Step 3: Cross multiply
    3,046,463x = 6,569,009 × 6,569,009
  4. Step 4: Simplify right side
    3,046,463x = 43,151,879,242,081
  5. Step 5: Solve for x
    x = 43,151,879,242,081/3,046,463
  6. Step 6: Final answer
    x = 14,164,583.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.