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Finding the Third Proportional to 1,068,593,664 and 1,634,671,152

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Solution

The third proportional to 1,068,593,664 and 1,634,671,152 is: 2,500,622,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,593,664 : 1,634,671,152 = 1,634,671,152 : x
  2. Step 2: Convert to fraction form
    1,068,593,664/1,634,671,152 = 1,634,671,152/x
  3. Step 3: Cross multiply
    1,068,593,664x = 1,634,671,152 × 1,634,671,152
  4. Step 4: Simplify right side
    1,068,593,664x = 2,672,149,775,181,006,848
  5. Step 5: Solve for x
    x = 2,672,149,775,181,006,848/1,068,593,664
  6. Step 6: Final answer
    x = 2,500,622,888.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.