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Finding the Third Proportional to 1,255,567,303 and 1,959,642,262

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Solution

The third proportional to 1,255,567,303 and 1,959,642,262 is: 3,058,535,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,567,303 : 1,959,642,262 = 1,959,642,262 : x
  2. Step 2: Convert to fraction form
    1,255,567,303/1,959,642,262 = 1,959,642,262/x
  3. Step 3: Cross multiply
    1,255,567,303x = 1,959,642,262 × 1,959,642,262
  4. Step 4: Simplify right side
    1,255,567,303x = 3,840,197,795,016,476,672
  5. Step 5: Solve for x
    x = 3,840,197,795,016,476,672/1,255,567,303
  6. Step 6: Final answer
    x = 3,058,535,998.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.