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Finding the Third Proportional to 846,917,958 and 1,834,535,004

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Solution

The third proportional to 846,917,958 and 1,834,535,004 is: 3,973,842,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,917,958 : 1,834,535,004 = 1,834,535,004 : x
  2. Step 2: Convert to fraction form
    846,917,958/1,834,535,004 = 1,834,535,004/x
  3. Step 3: Cross multiply
    846,917,958x = 1,834,535,004 × 1,834,535,004
  4. Step 4: Simplify right side
    846,917,958x = 3,365,518,680,901,280,256
  5. Step 5: Solve for x
    x = 3,365,518,680,901,280,256/846,917,958
  6. Step 6: Final answer
    x = 3,973,842,624.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.