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Finding the Third Proportional to 3,190,927,392 and 4,901,655,168

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Solution

The third proportional to 3,190,927,392 and 4,901,655,168 is: 7,529,542,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190,927,392 : 4,901,655,168 = 4,901,655,168 : x
  2. Step 2: Convert to fraction form
    3,190,927,392/4,901,655,168 = 4,901,655,168/x
  3. Step 3: Cross multiply
    3,190,927,392x = 4,901,655,168 × 4,901,655,168
  4. Step 4: Simplify right side
    3,190,927,392x = 24,026,223,385,981,108,224
  5. Step 5: Solve for x
    x = 24,026,223,385,981,108,224/3,190,927,392
  6. Step 6: Final answer
    x = 7,529,542,491.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.