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Finding the Third Proportional to 74,913,853,838 and 108,237,582,007

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Solution

The third proportional to 74,913,853,838 and 108,237,582,007 is: 156,384,614,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,913,853,838 : 108,237,582,007 = 108,237,582,007 : x
  2. Step 2: Convert to fraction form
    74,913,853,838/108,237,582,007 = 108,237,582,007/x
  3. Step 3: Cross multiply
    74,913,853,838x = 108,237,582,007 × 108,237,582,007
  4. Step 4: Simplify right side
    74,913,853,838x = 11,715,374,158,722,050,818,048
  5. Step 5: Solve for x
    x = 11,715,374,158,722,050,818,048/74,913,853,838
  6. Step 6: Final answer
    x = 156,384,614,574.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.