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Finding the Third Proportional to 1,645,661,772 and 3,514,509,288

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Solution

The third proportional to 1,645,661,772 and 3,514,509,288 is: 7,505,658,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,661,772 : 3,514,509,288 = 3,514,509,288 : x
  2. Step 2: Convert to fraction form
    1,645,661,772/3,514,509,288 = 3,514,509,288/x
  3. Step 3: Cross multiply
    1,645,661,772x = 3,514,509,288 × 3,514,509,288
  4. Step 4: Simplify right side
    1,645,661,772x = 12,351,775,535,438,266,368
  5. Step 5: Solve for x
    x = 12,351,775,535,438,266,368/1,645,661,772
  6. Step 6: Final answer
    x = 7,505,658,663.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.