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Finding the Third Proportional to 922,168,701 and 1,991,576,286

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Solution

The third proportional to 922,168,701 and 1,991,576,286 is: 4,301,139,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,168,701 : 1,991,576,286 = 1,991,576,286 : x
  2. Step 2: Convert to fraction form
    922,168,701/1,991,576,286 = 1,991,576,286/x
  3. Step 3: Cross multiply
    922,168,701x = 1,991,576,286 × 1,991,576,286
  4. Step 4: Simplify right side
    922,168,701x = 3,966,376,102,957,553,664
  5. Step 5: Solve for x
    x = 3,966,376,102,957,553,664/922,168,701
  6. Step 6: Final answer
    x = 4,301,139,367.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.