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Finding the Third Proportional to 31,166,797,206 and 66,746,681,304

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Solution

The third proportional to 31,166,797,206 and 66,746,681,304 is: 142,944,410,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166,797,206 : 66,746,681,304 = 66,746,681,304 : x
  2. Step 2: Convert to fraction form
    31,166,797,206/66,746,681,304 = 66,746,681,304/x
  3. Step 3: Cross multiply
    31,166,797,206x = 66,746,681,304 × 66,746,681,304
  4. Step 4: Simplify right side
    31,166,797,206x = 4,455,119,465,097,743,302,656
  5. Step 5: Solve for x
    x = 4,455,119,465,097,743,302,656/31,166,797,206
  6. Step 6: Final answer
    x = 142,944,410,862.98

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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.