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Finding the Third Proportional to 742,181,424 and 1,465,629,008

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Solution

The third proportional to 742,181,424 and 1,465,629,008 is: 2,894,263,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,181,424 : 1,465,629,008 = 1,465,629,008 : x
  2. Step 2: Convert to fraction form
    742,181,424/1,465,629,008 = 1,465,629,008/x
  3. Step 3: Cross multiply
    742,181,424x = 1,465,629,008 × 1,465,629,008
  4. Step 4: Simplify right side
    742,181,424x = 2,148,068,389,091,064,064
  5. Step 5: Solve for x
    x = 2,148,068,389,091,064,064/742,181,424
  6. Step 6: Final answer
    x = 2,894,263,207.93

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.