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Finding the Third Proportional to 424,736,599,806 and 910,056,015,612

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Solution

The third proportional to 424,736,599,806 and 910,056,015,612 is: 1,949,918,966,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,736,599,806 : 910,056,015,612 = 910,056,015,612 : x
  2. Step 2: Convert to fraction form
    424,736,599,806/910,056,015,612 = 910,056,015,612/x
  3. Step 3: Cross multiply
    424,736,599,806x = 910,056,015,612 × 910,056,015,612
  4. Step 4: Simplify right side
    424,736,599,806x = 828,201,951,551,588,818,485,248
  5. Step 5: Solve for x
    x = 828,201,951,551,588,818,485,248/424,736,599,806
  6. Step 6: Final answer
    x = 1,949,918,966,083.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.