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Finding the Third Proportional to 77,750,776 and 167,970,688

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Solution

The third proportional to 77,750,776 and 167,970,688 is: 362,879,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,750,776 : 167,970,688 = 167,970,688 : x
  2. Step 2: Convert to fraction form
    77,750,776/167,970,688 = 167,970,688/x
  3. Step 3: Cross multiply
    77,750,776x = 167,970,688 × 167,970,688
  4. Step 4: Simplify right side
    77,750,776x = 28,214,152,027,193,344
  5. Step 5: Solve for x
    x = 28,214,152,027,193,344/77,750,776
  6. Step 6: Final answer
    x = 362,879,362.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.