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Finding the Third Proportional to 1,343,265,974 and 2,906,558,365

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Solution

The third proportional to 1,343,265,974 and 2,906,558,365 is: 6,289,209,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,265,974 : 2,906,558,365 = 2,906,558,365 : x
  2. Step 2: Convert to fraction form
    1,343,265,974/2,906,558,365 = 2,906,558,365/x
  3. Step 3: Cross multiply
    1,343,265,974x = 2,906,558,365 × 2,906,558,365
  4. Step 4: Simplify right side
    1,343,265,974x = 8,448,081,529,151,473,664
  5. Step 5: Solve for x
    x = 8,448,081,529,151,473,664/1,343,265,974
  6. Step 6: Final answer
    x = 6,289,209,801.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.