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Finding the Third Proportional to 746,371,324 and 1,619,611,235

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Solution

The third proportional to 746,371,324 and 1,619,611,235 is: 3,514,524,832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,371,324 : 1,619,611,235 = 1,619,611,235 : x
  2. Step 2: Convert to fraction form
    746,371,324/1,619,611,235 = 1,619,611,235/x
  3. Step 3: Cross multiply
    746,371,324x = 1,619,611,235 × 1,619,611,235
  4. Step 4: Simplify right side
    746,371,324x = 2,623,140,552,538,225,152
  5. Step 5: Solve for x
    x = 2,623,140,552,538,225,152/746,371,324
  6. Step 6: Final answer
    x = 3,514,524,832.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.