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Finding the Third Proportional to 216,186,839,579 and 464,909,055,070

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Solution

The third proportional to 216,186,839,579 and 464,909,055,070 is: 999,785,324,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,186,839,579 : 464,909,055,070 = 464,909,055,070 : x
  2. Step 2: Convert to fraction form
    216,186,839,579/464,909,055,070 = 464,909,055,070/x
  3. Step 3: Cross multiply
    216,186,839,579x = 464,909,055,070 × 464,909,055,070
  4. Step 4: Simplify right side
    216,186,839,579x = 216,140,429,486,080,300,941,312
  5. Step 5: Solve for x
    x = 216,140,429,486,080,300,941,312/216,186,839,579
  6. Step 6: Final answer
    x = 999,785,324,152.89

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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.