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Finding the Third Proportional to 523,642,551 and 1,139,221,047

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Solution

The third proportional to 523,642,551 and 1,139,221,047 is: 2,478,455,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,642,551 : 1,139,221,047 = 1,139,221,047 : x
  2. Step 2: Convert to fraction form
    523,642,551/1,139,221,047 = 1,139,221,047/x
  3. Step 3: Cross multiply
    523,642,551x = 1,139,221,047 × 1,139,221,047
  4. Step 4: Simplify right side
    523,642,551x = 1,297,824,593,927,776,256
  5. Step 5: Solve for x
    x = 1,297,824,593,927,776,256/523,642,551
  6. Step 6: Final answer
    x = 2,478,455,181.78

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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.