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Finding the Third Proportional to 69,860,348,820 and 151,960,953,104

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Solution

The third proportional to 69,860,348,820 and 151,960,953,104 is: 330,547,036,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,860,348,820 : 151,960,953,104 = 151,960,953,104 : x
  2. Step 2: Convert to fraction form
    69,860,348,820/151,960,953,104 = 151,960,953,104/x
  3. Step 3: Cross multiply
    69,860,348,820x = 151,960,953,104 × 151,960,953,104
  4. Step 4: Simplify right side
    69,860,348,820x = 23,092,131,268,276,086,898,688
  5. Step 5: Solve for x
    x = 23,092,131,268,276,086,898,688/69,860,348,820
  6. Step 6: Final answer
    x = 330,547,036,456.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.