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Finding the Third Proportional to 4,415,526 and 6,477,971.63

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Solution

The third proportional to 4,415,526 and 6,477,971.63 is: 9,503,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415,526 : 6,477,971.63 = 6,477,971.63 : x
  2. Step 2: Convert to fraction form
    4,415,526/6,477,971.63 = 6,477,971.63/x
  3. Step 3: Cross multiply
    4,415,526x = 6,477,971.63 × 6,477,971.63
  4. Step 4: Simplify right side
    4,415,526x = 41,964,116,374,305.14
  5. Step 5: Solve for x
    x = 41,964,116,374,305.14/4,415,526
  6. Step 6: Final answer
    x = 9,503,763.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.