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Finding the Third Proportional to 535,870,284 and 1,149,275,640

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Solution

The third proportional to 535,870,284 and 1,149,275,640 is: 2,464,839,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,870,284 : 1,149,275,640 = 1,149,275,640 : x
  2. Step 2: Convert to fraction form
    535,870,284/1,149,275,640 = 1,149,275,640/x
  3. Step 3: Cross multiply
    535,870,284x = 1,149,275,640 × 1,149,275,640
  4. Step 4: Simplify right side
    535,870,284x = 1,320,834,496,697,409,536
  5. Step 5: Solve for x
    x = 1,320,834,496,697,409,536/535,870,284
  6. Step 6: Final answer
    x = 2,464,839,973.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.