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Finding the Third Proportional to 1,200,715,748,995 and 1,829,207,388,143

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Solution

The third proportional to 1,200,715,748,995 and 1,829,207,388,143 is: 2,786,670,926,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,715,748,995 : 1,829,207,388,143 = 1,829,207,388,143 : x
  2. Step 2: Convert to fraction form
    1,200,715,748,995/1,829,207,388,143 = 1,829,207,388,143/x
  3. Step 3: Cross multiply
    1,200,715,748,995x = 1,829,207,388,143 × 1,829,207,388,143
  4. Step 4: Simplify right side
    1,200,715,748,995x = 3,345,999,668,836,935,751,696,384
  5. Step 5: Solve for x
    x = 3,345,999,668,836,935,751,696,384/1,200,715,748,995
  6. Step 6: Final answer
    x = 2,786,670,926,601.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.