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Finding the Third Proportional to 81,640,388,596 and 127,789,506,023

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Solution

The third proportional to 81,640,388,596 and 127,789,506,023 is: 200,025,479,183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,640,388,596 : 127,789,506,023 = 127,789,506,023 : x
  2. Step 2: Convert to fraction form
    81,640,388,596/127,789,506,023 = 127,789,506,023/x
  3. Step 3: Cross multiply
    81,640,388,596x = 127,789,506,023 × 127,789,506,023
  4. Step 4: Simplify right side
    81,640,388,596x = 16,330,157,849,602,353,528,832
  5. Step 5: Solve for x
    x = 16,330,157,849,602,353,528,832/81,640,388,596
  6. Step 6: Final answer
    x = 200,025,479,183.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.