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Finding the Third Proportional to 5,368,465 and 8,130,842

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Solution

The third proportional to 5,368,465 and 8,130,842 is: 12,314,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368,465 : 8,130,842 = 8,130,842 : x
  2. Step 2: Convert to fraction form
    5,368,465/8,130,842 = 8,130,842/x
  3. Step 3: Cross multiply
    5,368,465x = 8,130,842 × 8,130,842
  4. Step 4: Simplify right side
    5,368,465x = 66,110,591,628,964
  5. Step 5: Solve for x
    x = 66,110,591,628,964/5,368,465
  6. Step 6: Final answer
    x = 12,314,617.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.