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Finding the Third Proportional to 4,583,715.47 and 9,713,836.69

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Solution

The third proportional to 4,583,715.47 and 9,713,836.69 is: 20,585,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583,715.47 : 9,713,836.69 = 9,713,836.69 : x
  2. Step 2: Convert to fraction form
    4,583,715.47/9,713,836.69 = 9,713,836.69/x
  3. Step 3: Cross multiply
    4,583,715.47x = 9,713,836.69 × 9,713,836.69
  4. Step 4: Simplify right side
    4,583,715.47x = 94,358,623,191,420.97
  5. Step 5: Solve for x
    x = 94,358,623,191,420.97/4,583,715.47
  6. Step 6: Final answer
    x = 20,585,619.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.