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Finding the Third Proportional to 7,583,848 and 10,730,910

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Solution

The third proportional to 7,583,848 and 10,730,910 is: 15,183,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,848 : 10,730,910 = 10,730,910 : x
  2. Step 2: Convert to fraction form
    7,583,848/10,730,910 = 10,730,910/x
  3. Step 3: Cross multiply
    7,583,848x = 10,730,910 × 10,730,910
  4. Step 4: Simplify right side
    7,583,848x = 115,152,429,428,100
  5. Step 5: Solve for x
    x = 115,152,429,428,100/7,583,848
  6. Step 6: Final answer
    x = 15,183,905.25

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.