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Finding the Third Proportional to 4,570,101 and 9,770,058

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Solution

The third proportional to 4,570,101 and 9,770,058 is: 20,886,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570,101 : 9,770,058 = 9,770,058 : x
  2. Step 2: Convert to fraction form
    4,570,101/9,770,058 = 9,770,058/x
  3. Step 3: Cross multiply
    4,570,101x = 9,770,058 × 9,770,058
  4. Step 4: Simplify right side
    4,570,101x = 95,454,033,323,364
  5. Step 5: Solve for x
    x = 95,454,033,323,364/4,570,101
  6. Step 6: Final answer
    x = 20,886,635.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.