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Finding the Third Proportional to 3,009,368 and 6,509,584

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Solution

The third proportional to 3,009,368 and 6,509,584 is: 14,080,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009,368 : 6,509,584 = 6,509,584 : x
  2. Step 2: Convert to fraction form
    3,009,368/6,509,584 = 6,509,584/x
  3. Step 3: Cross multiply
    3,009,368x = 6,509,584 × 6,509,584
  4. Step 4: Simplify right side
    3,009,368x = 42,374,683,853,056
  5. Step 5: Solve for x
    x = 42,374,683,853,056/3,009,368
  6. Step 6: Final answer
    x = 14,080,924.58

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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.