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Finding the Third Proportional to 7,705,293.75 and 16,602,639.75

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Solution

The third proportional to 7,705,293.75 and 16,602,639.75 is: 35,773,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705,293.75 : 16,602,639.75 = 16,602,639.75 : x
  2. Step 2: Convert to fraction form
    7,705,293.75/16,602,639.75 = 16,602,639.75/x
  3. Step 3: Cross multiply
    7,705,293.75x = 16,602,639.75 × 16,602,639.75
  4. Step 4: Simplify right side
    7,705,293.75x = 275,647,646,668,280.06
  5. Step 5: Solve for x
    x = 275,647,646,668,280.06/7,705,293.75
  6. Step 6: Final answer
    x = 35,773,801.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.