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Finding the Third Proportional to 1,099,162,788 and 2,370,507,600

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Solution

The third proportional to 1,099,162,788 and 2,370,507,600 is: 5,112,351,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,162,788 : 2,370,507,600 = 2,370,507,600 : x
  2. Step 2: Convert to fraction form
    1,099,162,788/2,370,507,600 = 2,370,507,600/x
  3. Step 3: Cross multiply
    1,099,162,788x = 2,370,507,600 × 2,370,507,600
  4. Step 4: Simplify right side
    1,099,162,788x = 5,619,306,281,657,759,744
  5. Step 5: Solve for x
    x = 5,619,306,281,657,759,744/1,099,162,788
  6. Step 6: Final answer
    x = 5,112,351,275.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.