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Finding the Third Proportional to 6,077,322 and 13,283,946

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Solution

The third proportional to 6,077,322 and 13,283,946 is: 29,036,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077,322 : 13,283,946 = 13,283,946 : x
  2. Step 2: Convert to fraction form
    6,077,322/13,283,946 = 13,283,946/x
  3. Step 3: Cross multiply
    6,077,322x = 13,283,946 × 13,283,946
  4. Step 4: Simplify right side
    6,077,322x = 176,463,221,330,916
  5. Step 5: Solve for x
    x = 176,463,221,330,916/6,077,322
  6. Step 6: Final answer
    x = 29,036,345.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.