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Finding the Third Proportional to 7,583,823.75 and 10,730,878.13

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Solution

The third proportional to 7,583,823.75 and 10,730,878.13 is: 15,183,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,823.75 : 10,730,878.13 = 10,730,878.13 : x
  2. Step 2: Convert to fraction form
    7,583,823.75/10,730,878.13 = 10,730,878.13/x
  3. Step 3: Cross multiply
    7,583,823.75x = 10,730,878.13 × 10,730,878.13
  4. Step 4: Simplify right side
    7,583,823.75x = 115,151,745,333,603.52
  5. Step 5: Solve for x
    x = 115,151,745,333,603.52/7,583,823.75
  6. Step 6: Final answer
    x = 15,183,863.59

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Why These Related Problems?

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