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Finding the Third Proportional to 1,265,379,911,392 and 2,772,507,366,188

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Solution

The third proportional to 1,265,379,911,392 and 2,772,507,366,188 is: 6,074,695,059,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,379,911,392 : 2,772,507,366,188 = 2,772,507,366,188 : x
  2. Step 2: Convert to fraction form
    1,265,379,911,392/2,772,507,366,188 = 2,772,507,366,188/x
  3. Step 3: Cross multiply
    1,265,379,911,392x = 2,772,507,366,188 × 2,772,507,366,188
  4. Step 4: Simplify right side
    1,265,379,911,392x = 7,686,797,095,566,720,939,065,344
  5. Step 5: Solve for x
    x = 7,686,797,095,566,720,939,065,344/1,265,379,911,392
  6. Step 6: Final answer
    x = 6,074,695,059,059.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.