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Finding the Third Proportional to 1,583,401,488 and 3,275,418,144

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Solution

The third proportional to 1,583,401,488 and 3,275,418,144 is: 6,775,517,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,401,488 : 3,275,418,144 = 3,275,418,144 : x
  2. Step 2: Convert to fraction form
    1,583,401,488/3,275,418,144 = 3,275,418,144/x
  3. Step 3: Cross multiply
    1,583,401,488x = 3,275,418,144 × 3,275,418,144
  4. Step 4: Simplify right side
    1,583,401,488x = 10,728,364,018,044,403,712
  5. Step 5: Solve for x
    x = 10,728,364,018,044,403,712/1,583,401,488
  6. Step 6: Final answer
    x = 6,775,517,201.01

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.