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Finding the Third Proportional to 671,796,255,780.54 and 1,480,525,981,332.40

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Solution

The third proportional to 671,796,255,780.54 and 1,480,525,981,332.40 is: 3,262,830,303,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,796,255,780.54 : 1,480,525,981,332.40 = 1,480,525,981,332.40 : x
  2. Step 2: Convert to fraction form
    671,796,255,780.54/1,480,525,981,332.40 = 1,480,525,981,332.40/x
  3. Step 3: Cross multiply
    671,796,255,780.54x = 1,480,525,981,332.40 × 1,480,525,981,332.40
  4. Step 4: Simplify right side
    671,796,255,780.54x = 2,191,957,181,400,265,776,955,392
  5. Step 5: Solve for x
    x = 2,191,957,181,400,265,776,955,392/671,796,255,780.54
  6. Step 6: Final answer
    x = 3,262,830,303,889.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.