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Finding the Third Proportional to 216,186,840,042 and 464,909,055,924

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Solution

The third proportional to 216,186,840,042 and 464,909,055,924 is: 999,785,325,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,186,840,042 : 464,909,055,924 = 464,909,055,924 : x
  2. Step 2: Convert to fraction form
    216,186,840,042/464,909,055,924 = 464,909,055,924/x
  3. Step 3: Cross multiply
    216,186,840,042x = 464,909,055,924 × 464,909,055,924
  4. Step 4: Simplify right side
    216,186,840,042x = 216,140,430,280,144,961,142,784
  5. Step 5: Solve for x
    x = 216,140,430,280,144,961,142,784/216,186,840,042
  6. Step 6: Final answer
    x = 999,785,325,684.74

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Why These Related Problems?

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