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Finding the Third Proportional to 5,312,409,820 and 7,939,335,172

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Solution

The third proportional to 5,312,409,820 and 7,939,335,172 is: 11,865,244,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312,409,820 : 7,939,335,172 = 7,939,335,172 : x
  2. Step 2: Convert to fraction form
    5,312,409,820/7,939,335,172 = 7,939,335,172/x
  3. Step 3: Cross multiply
    5,312,409,820x = 7,939,335,172 × 7,939,335,172
  4. Step 4: Simplify right side
    5,312,409,820x = 63,033,042,973,356,269,568
  5. Step 5: Solve for x
    x = 63,033,042,973,356,269,568/5,312,409,820
  6. Step 6: Final answer
    x = 11,865,244,796.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.