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Finding the Third Proportional to 3,202,992,900,706 and 7,017,909,270,653

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Solution

The third proportional to 3,202,992,900,706 and 7,017,909,270,653 is: 15,376,571,868,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202,992,900,706 : 7,017,909,270,653 = 7,017,909,270,653 : x
  2. Step 2: Convert to fraction form
    3,202,992,900,706/7,017,909,270,653 = 7,017,909,270,653/x
  3. Step 3: Cross multiply
    3,202,992,900,706x = 7,017,909,270,653 × 7,017,909,270,653
  4. Step 4: Simplify right side
    3,202,992,900,706x = 49,251,050,531,117,323,186,601,984
  5. Step 5: Solve for x
    x = 49,251,050,531,117,323,186,601,984/3,202,992,900,706
  6. Step 6: Final answer
    x = 15,376,571,868,224.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.