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Finding the Third Proportional to 4,616,073.56 and 10,686,280.01

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Solution

The third proportional to 4,616,073.56 and 10,686,280.01 is: 24,738,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,073.56 : 10,686,280.01 = 10,686,280.01 : x
  2. Step 2: Convert to fraction form
    4,616,073.56/10,686,280.01 = 10,686,280.01/x
  3. Step 3: Cross multiply
    4,616,073.56x = 10,686,280.01 × 10,686,280.01
  4. Step 4: Simplify right side
    4,616,073.56x = 114,196,580,405,362.45
  5. Step 5: Solve for x
    x = 114,196,580,405,362.45/4,616,073.56
  6. Step 6: Final answer
    x = 24,738,899.60

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.