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Finding the Third Proportional to 930,891,021.75 and 1,388,263,920.75

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Solution

The third proportional to 930,891,021.75 and 1,388,263,920.75 is: 2,070,356,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,891,021.75 : 1,388,263,920.75 = 1,388,263,920.75 : x
  2. Step 2: Convert to fraction form
    930,891,021.75/1,388,263,920.75 = 1,388,263,920.75/x
  3. Step 3: Cross multiply
    930,891,021.75x = 1,388,263,920.75 × 1,388,263,920.75
  4. Step 4: Simplify right side
    930,891,021.75x = 1,927,276,713,656,162,304
  5. Step 5: Solve for x
    x = 1,927,276,713,656,162,304/930,891,021.75
  6. Step 6: Final answer
    x = 2,070,356,968.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.