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Finding the Third Proportional to 1,652,979,607.50 and 3,596,511,831

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Solution

The third proportional to 1,652,979,607.50 and 3,596,511,831 is: 7,825,200,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652,979,607.50 : 3,596,511,831 = 3,596,511,831 : x
  2. Step 2: Convert to fraction form
    1,652,979,607.50/3,596,511,831 = 3,596,511,831/x
  3. Step 3: Cross multiply
    1,652,979,607.50x = 3,596,511,831 × 3,596,511,831
  4. Step 4: Simplify right side
    1,652,979,607.50x = 12,934,897,350,522,972,160
  5. Step 5: Solve for x
    x = 12,934,897,350,522,972,160/1,652,979,607.50
  6. Step 6: Final answer
    x = 7,825,200,802.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.