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Finding the Third Proportional to 523,642,555 and 1,139,221,055

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Solution

The third proportional to 523,642,555 and 1,139,221,055 is: 2,478,455,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,642,555 : 1,139,221,055 = 1,139,221,055 : x
  2. Step 2: Convert to fraction form
    523,642,555/1,139,221,055 = 1,139,221,055/x
  3. Step 3: Cross multiply
    523,642,555x = 1,139,221,055 × 1,139,221,055
  4. Step 4: Simplify right side
    523,642,555x = 1,297,824,612,155,313,152
  5. Step 5: Solve for x
    x = 1,297,824,612,155,313,152/523,642,555
  6. Step 6: Final answer
    x = 2,478,455,197.66

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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.