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Finding the Third Proportional to 943,920,144 and 1,428,983,640

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Solution

The third proportional to 943,920,144 and 1,428,983,640 is: 2,163,312,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,920,144 : 1,428,983,640 = 1,428,983,640 : x
  2. Step 2: Convert to fraction form
    943,920,144/1,428,983,640 = 1,428,983,640/x
  3. Step 3: Cross multiply
    943,920,144x = 1,428,983,640 × 1,428,983,640
  4. Step 4: Simplify right side
    943,920,144x = 2,041,994,243,387,649,536
  5. Step 5: Solve for x
    x = 2,041,994,243,387,649,536/943,920,144
  6. Step 6: Final answer
    x = 2,163,312,496.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.