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Finding the Third Proportional to 6,463,077 and 9,828,904.50

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Solution

The third proportional to 6,463,077 and 9,828,904.50 is: 14,947,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463,077 : 9,828,904.50 = 9,828,904.50 : x
  2. Step 2: Convert to fraction form
    6,463,077/9,828,904.50 = 9,828,904.50/x
  3. Step 3: Cross multiply
    6,463,077x = 9,828,904.50 × 9,828,904.50
  4. Step 4: Simplify right side
    6,463,077x = 96,607,363,670,120.25
  5. Step 5: Solve for x
    x = 96,607,363,670,120.25/6,463,077
  6. Step 6: Final answer
    x = 14,947,580.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.