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Finding the Third Proportional to 334,253,709 and 733,077,501

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Solution

The third proportional to 334,253,709 and 733,077,501 is: 1,607,768,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,253,709 : 733,077,501 = 733,077,501 : x
  2. Step 2: Convert to fraction form
    334,253,709/733,077,501 = 733,077,501/x
  3. Step 3: Cross multiply
    334,253,709x = 733,077,501 × 733,077,501
  4. Step 4: Simplify right side
    334,253,709x = 537,402,622,472,404,992
  5. Step 5: Solve for x
    x = 537,402,622,472,404,992/334,253,709
  6. Step 6: Final answer
    x = 1,607,768,614.09

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Why These Related Problems?

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