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Finding the Third Proportional to 657,942,342 and 1,445,009,034

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Solution

The third proportional to 657,942,342 and 1,445,009,034 is: 3,173,608,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,942,342 : 1,445,009,034 = 1,445,009,034 : x
  2. Step 2: Convert to fraction form
    657,942,342/1,445,009,034 = 1,445,009,034/x
  3. Step 3: Cross multiply
    657,942,342x = 1,445,009,034 × 1,445,009,034
  4. Step 4: Simplify right side
    657,942,342x = 2,088,051,108,341,613,056
  5. Step 5: Solve for x
    x = 2,088,051,108,341,613,056/657,942,342
  6. Step 6: Final answer
    x = 3,173,608,042.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.