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Finding the Third Proportional to 919,441,319 and 1,427,608,101

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Solution

The third proportional to 919,441,319 and 1,427,608,101 is: 2,216,634,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,441,319 : 1,427,608,101 = 1,427,608,101 : x
  2. Step 2: Convert to fraction form
    919,441,319/1,427,608,101 = 1,427,608,101/x
  3. Step 3: Cross multiply
    919,441,319x = 1,427,608,101 × 1,427,608,101
  4. Step 4: Simplify right side
    919,441,319x = 2,038,064,890,040,826,112
  5. Step 5: Solve for x
    x = 2,038,064,890,040,826,112/919,441,319
  6. Step 6: Final answer
    x = 2,216,634,001.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.