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Finding the Third Proportional to 4,314,765 and 6,699,495

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Solution

The third proportional to 4,314,765 and 6,699,495 is: 10,402,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314,765 : 6,699,495 = 6,699,495 : x
  2. Step 2: Convert to fraction form
    4,314,765/6,699,495 = 6,699,495/x
  3. Step 3: Cross multiply
    4,314,765x = 6,699,495 × 6,699,495
  4. Step 4: Simplify right side
    4,314,765x = 44,883,233,255,025
  5. Step 5: Solve for x
    x = 44,883,233,255,025/4,314,765
  6. Step 6: Final answer
    x = 10,402,242.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.