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Finding the Third Proportional to 970,136,630 and 1,491,185,367

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Solution

The third proportional to 970,136,630 and 1,491,185,367 is: 2,292,083,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,136,630 : 1,491,185,367 = 1,491,185,367 : x
  2. Step 2: Convert to fraction form
    970,136,630/1,491,185,367 = 1,491,185,367/x
  3. Step 3: Cross multiply
    970,136,630x = 1,491,185,367 × 1,491,185,367
  4. Step 4: Simplify right side
    970,136,630x = 2,223,633,798,754,924,800
  5. Step 5: Solve for x
    x = 2,223,633,798,754,924,800/970,136,630
  6. Step 6: Final answer
    x = 2,292,083,125.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.