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Finding the Third Proportional to 4,943,106 and 10,685,695.50

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Solution

The third proportional to 4,943,106 and 10,685,695.50 is: 23,099,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943,106 : 10,685,695.50 = 10,685,695.50 : x
  2. Step 2: Convert to fraction form
    4,943,106/10,685,695.50 = 10,685,695.50/x
  3. Step 3: Cross multiply
    4,943,106x = 10,685,695.50 × 10,685,695.50
  4. Step 4: Simplify right side
    4,943,106x = 114,184,088,318,720.25
  5. Step 5: Solve for x
    x = 114,184,088,318,720.25/4,943,106
  6. Step 6: Final answer
    x = 23,099,664.12

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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.