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Finding the Third Proportional to 4,081,258,430 and 6,120,824,764

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Solution

The third proportional to 4,081,258,430 and 6,120,824,764 is: 9,179,643,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081,258,430 : 6,120,824,764 = 6,120,824,764 : x
  2. Step 2: Convert to fraction form
    4,081,258,430/6,120,824,764 = 6,120,824,764/x
  3. Step 3: Cross multiply
    4,081,258,430x = 6,120,824,764 × 6,120,824,764
  4. Step 4: Simplify right side
    4,081,258,430x = 37,464,495,791,595,659,264
  5. Step 5: Solve for x
    x = 37,464,495,791,595,659,264/4,081,258,430
  6. Step 6: Final answer
    x = 9,179,643,101.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.