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Finding the Third Proportional to 523,642,563 and 1,139,221,071

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Solution

The third proportional to 523,642,563 and 1,139,221,071 is: 2,478,455,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,642,563 : 1,139,221,071 = 1,139,221,071 : x
  2. Step 2: Convert to fraction form
    523,642,563/1,139,221,071 = 1,139,221,071/x
  3. Step 3: Cross multiply
    523,642,563x = 1,139,221,071 × 1,139,221,071
  4. Step 4: Simplify right side
    523,642,563x = 1,297,824,648,610,386,944
  5. Step 5: Solve for x
    x = 1,297,824,648,610,386,944/523,642,563
  6. Step 6: Final answer
    x = 2,478,455,229.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.