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Finding the Third Proportional to 1,602,817,776 and 2,416,840,086

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Solution

The third proportional to 1,602,817,776 and 2,416,840,086 is: 3,644,279,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,817,776 : 2,416,840,086 = 2,416,840,086 : x
  2. Step 2: Convert to fraction form
    1,602,817,776/2,416,840,086 = 2,416,840,086/x
  3. Step 3: Cross multiply
    1,602,817,776x = 2,416,840,086 × 2,416,840,086
  4. Step 4: Simplify right side
    1,602,817,776x = 5,841,116,001,296,487,424
  5. Step 5: Solve for x
    x = 5,841,116,001,296,487,424/1,602,817,776
  6. Step 6: Final answer
    x = 3,644,279,523.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.