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Finding the Third Proportional to 450,602,254,928 and 954,926,817,656

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Solution

The third proportional to 450,602,254,928 and 954,926,817,656 is: 2,023,703,204,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,602,254,928 : 954,926,817,656 = 954,926,817,656 : x
  2. Step 2: Convert to fraction form
    450,602,254,928/954,926,817,656 = 954,926,817,656/x
  3. Step 3: Cross multiply
    450,602,254,928x = 954,926,817,656 × 954,926,817,656
  4. Step 4: Simplify right side
    450,602,254,928x = 911,885,227,078,615,415,390,208
  5. Step 5: Solve for x
    x = 911,885,227,078,615,415,390,208/450,602,254,928
  6. Step 6: Final answer
    x = 2,023,703,204,113.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.