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Finding the Third Proportional to 2,996,688 and 6,472,206

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Solution

The third proportional to 2,996,688 and 6,472,206 is: 13,978,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,688 : 6,472,206 = 6,472,206 : x
  2. Step 2: Convert to fraction form
    2,996,688/6,472,206 = 6,472,206/x
  3. Step 3: Cross multiply
    2,996,688x = 6,472,206 × 6,472,206
  4. Step 4: Simplify right side
    2,996,688x = 41,889,450,506,436
  5. Step 5: Solve for x
    x = 41,889,450,506,436/2,996,688
  6. Step 6: Final answer
    x = 13,978,582.52

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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.