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Finding the Third Proportional to 740,185,134 and 1,625,635,164

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Solution

The third proportional to 740,185,134 and 1,625,635,164 is: 3,570,309,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,185,134 : 1,625,635,164 = 1,625,635,164 : x
  2. Step 2: Convert to fraction form
    740,185,134/1,625,635,164 = 1,625,635,164/x
  3. Step 3: Cross multiply
    740,185,134x = 1,625,635,164 × 1,625,635,164
  4. Step 4: Simplify right side
    740,185,134x = 2,642,689,686,433,307,136
  5. Step 5: Solve for x
    x = 2,642,689,686,433,307,136/740,185,134
  6. Step 6: Final answer
    x = 3,570,309,055.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.