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Finding the Third Proportional to 32,216,457,783 and 65,351,527,941

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Solution

The third proportional to 32,216,457,783 and 65,351,527,941 is: 132,566,473,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,216,457,783 : 65,351,527,941 = 65,351,527,941 : x
  2. Step 2: Convert to fraction form
    32,216,457,783/65,351,527,941 = 65,351,527,941/x
  3. Step 3: Cross multiply
    32,216,457,783x = 65,351,527,941 × 65,351,527,941
  4. Step 4: Simplify right side
    32,216,457,783x = 4,270,822,204,223,303,712,768
  5. Step 5: Solve for x
    x = 4,270,822,204,223,303,712,768/32,216,457,783
  6. Step 6: Final answer
    x = 132,566,473,725.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.