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Finding the Third Proportional to 309,055,044 and 654,956,664

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Solution

The third proportional to 309,055,044 and 654,956,664 is: 1,387,999,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,055,044 : 654,956,664 = 654,956,664 : x
  2. Step 2: Convert to fraction form
    309,055,044/654,956,664 = 654,956,664/x
  3. Step 3: Cross multiply
    309,055,044x = 654,956,664 × 654,956,664
  4. Step 4: Simplify right side
    309,055,044x = 428,968,231,718,008,896
  5. Step 5: Solve for x
    x = 428,968,231,718,008,896/309,055,044
  6. Step 6: Final answer
    x = 1,387,999,452.03

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.