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Finding the Third Proportional to 651,642,103,584 and 1,402,875,410,016

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Solution

The third proportional to 651,642,103,584 and 1,402,875,410,016 is: 3,020,153,862,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,642,103,584 : 1,402,875,410,016 = 1,402,875,410,016 : x
  2. Step 2: Convert to fraction form
    651,642,103,584/1,402,875,410,016 = 1,402,875,410,016/x
  3. Step 3: Cross multiply
    651,642,103,584x = 1,402,875,410,016 × 1,402,875,410,016
  4. Step 4: Simplify right side
    651,642,103,584x = 1,968,059,416,027,560,190,935,040
  5. Step 5: Solve for x
    x = 1,968,059,416,027,560,190,935,040/651,642,103,584
  6. Step 6: Final answer
    x = 3,020,153,862,378.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.