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Finding the Third Proportional to 5,413,558,785.75 and 8,614,036,476

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Solution

The third proportional to 5,413,558,785.75 and 8,614,036,476 is: 13,706,625,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413,558,785.75 : 8,614,036,476 = 8,614,036,476 : x
  2. Step 2: Convert to fraction form
    5,413,558,785.75/8,614,036,476 = 8,614,036,476/x
  3. Step 3: Cross multiply
    5,413,558,785.75x = 8,614,036,476 × 8,614,036,476
  4. Step 4: Simplify right side
    5,413,558,785.75x = 74,201,624,409,858,506,752
  5. Step 5: Solve for x
    x = 74,201,624,409,858,506,752/5,413,558,785.75
  6. Step 6: Final answer
    x = 13,706,625,779.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.