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Finding the Third Proportional to 7,983,316 and 12,509,058

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Solution

The third proportional to 7,983,316 and 12,509,058 is: 19,600,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983,316 : 12,509,058 = 12,509,058 : x
  2. Step 2: Convert to fraction form
    7,983,316/12,509,058 = 12,509,058/x
  3. Step 3: Cross multiply
    7,983,316x = 12,509,058 × 12,509,058
  4. Step 4: Simplify right side
    7,983,316x = 156,476,532,047,364
  5. Step 5: Solve for x
    x = 156,476,532,047,364/7,983,316
  6. Step 6: Final answer
    x = 19,600,443.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.