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Finding the Third Proportional to 4,759,834.64 and 10,277,123.06

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Solution

The third proportional to 4,759,834.64 and 10,277,123.06 is: 22,189,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759,834.64 : 10,277,123.06 = 10,277,123.06 : x
  2. Step 2: Convert to fraction form
    4,759,834.64/10,277,123.06 = 10,277,123.06/x
  3. Step 3: Cross multiply
    4,759,834.64x = 10,277,123.06 × 10,277,123.06
  4. Step 4: Simplify right side
    4,759,834.64x = 105,619,258,441,769.38
  5. Step 5: Solve for x
    x = 105,619,258,441,769.38/4,759,834.64
  6. Step 6: Final answer
    x = 22,189,690.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.