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Finding the Third Proportional to 562,509,036 and 1,233,935,046

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Solution

The third proportional to 562,509,036 and 1,233,935,046 is: 2,706,793,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,509,036 : 1,233,935,046 = 1,233,935,046 : x
  2. Step 2: Convert to fraction form
    562,509,036/1,233,935,046 = 1,233,935,046/x
  3. Step 3: Cross multiply
    562,509,036x = 1,233,935,046 × 1,233,935,046
  4. Step 4: Simplify right side
    562,509,036x = 1,522,595,697,747,022,080
  5. Step 5: Solve for x
    x = 1,522,595,697,747,022,080/562,509,036
  6. Step 6: Final answer
    x = 2,706,793,314.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.