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Finding the Third Proportional to 9,818,688 and 20,319,104

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Solution

The third proportional to 9,818,688 and 20,319,104 is: 42,048,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818,688 : 20,319,104 = 20,319,104 : x
  2. Step 2: Convert to fraction form
    9,818,688/20,319,104 = 20,319,104/x
  3. Step 3: Cross multiply
    9,818,688x = 20,319,104 × 20,319,104
  4. Step 4: Simplify right side
    9,818,688x = 412,865,987,362,816
  5. Step 5: Solve for x
    x = 412,865,987,362,816/9,818,688
  6. Step 6: Final answer
    x = 42,048,997.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.