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Finding the Third Proportional to 4,032,266,744 and 6,325,430,991

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Solution

The third proportional to 4,032,266,744 and 6,325,430,991 is: 9,922,725,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032,266,744 : 6,325,430,991 = 6,325,430,991 : x
  2. Step 2: Convert to fraction form
    4,032,266,744/6,325,430,991 = 6,325,430,991/x
  3. Step 3: Cross multiply
    4,032,266,744x = 6,325,430,991 × 6,325,430,991
  4. Step 4: Simplify right side
    4,032,266,744x = 40,011,077,221,903,245,312
  5. Step 5: Solve for x
    x = 40,011,077,221,903,245,312/4,032,266,744
  6. Step 6: Final answer
    x = 9,922,725,792.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.