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Finding the Third Proportional to 1,068,593,148 and 1,634,670,486

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Solution

The third proportional to 1,068,593,148 and 1,634,670,486 is: 2,500,622,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,593,148 : 1,634,670,486 = 1,634,670,486 : x
  2. Step 2: Convert to fraction form
    1,068,593,148/1,634,670,486 = 1,634,670,486/x
  3. Step 3: Cross multiply
    1,068,593,148x = 1,634,670,486 × 1,634,670,486
  4. Step 4: Simplify right side
    1,068,593,148x = 2,672,147,597,799,476,224
  5. Step 5: Solve for x
    x = 2,672,147,597,799,476,224/1,068,593,148
  6. Step 6: Final answer
    x = 2,500,622,058.83

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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.