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Finding the Third Proportional to 1,602,817,768 and 2,416,840,074

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Solution

The third proportional to 1,602,817,768 and 2,416,840,074 is: 3,644,279,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,817,768 : 2,416,840,074 = 2,416,840,074 : x
  2. Step 2: Convert to fraction form
    1,602,817,768/2,416,840,074 = 2,416,840,074/x
  3. Step 3: Cross multiply
    1,602,817,768x = 2,416,840,074 × 2,416,840,074
  4. Step 4: Simplify right side
    1,602,817,768x = 5,841,115,943,292,325,888
  5. Step 5: Solve for x
    x = 5,841,115,943,292,325,888/1,602,817,768
  6. Step 6: Final answer
    x = 3,644,279,505.70

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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.