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Finding the Third Proportional to 354,160,444,116 and 764,754,719,904

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Solution

The third proportional to 354,160,444,116 and 764,754,719,904 is: 1,651,369,573,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,160,444,116 : 764,754,719,904 = 764,754,719,904 : x
  2. Step 2: Convert to fraction form
    354,160,444,116/764,754,719,904 = 764,754,719,904/x
  3. Step 3: Cross multiply
    354,160,444,116x = 764,754,719,904 × 764,754,719,904
  4. Step 4: Simplify right side
    354,160,444,116x = 584,849,781,615,445,506,260,992
  5. Step 5: Solve for x
    x = 584,849,781,615,445,506,260,992/354,160,444,116
  6. Step 6: Final answer
    x = 1,651,369,573,683.63

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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.