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Finding the Third Proportional to 2,881,077,830 and 6,669,279,929

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Solution

The third proportional to 2,881,077,830 and 6,669,279,929 is: 15,438,421,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881,077,830 : 6,669,279,929 = 6,669,279,929 : x
  2. Step 2: Convert to fraction form
    2,881,077,830/6,669,279,929 = 6,669,279,929/x
  3. Step 3: Cross multiply
    2,881,077,830x = 6,669,279,929 × 6,669,279,929
  4. Step 4: Simplify right side
    2,881,077,830x = 44,479,294,771,362,242,560
  5. Step 5: Solve for x
    x = 44,479,294,771,362,242,560/2,881,077,830
  6. Step 6: Final answer
    x = 15,438,421,797.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.