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Finding the Third Proportional to 1,996,509,030 and 4,308,694,015

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Solution

The third proportional to 1,996,509,030 and 4,308,694,015 is: 9,298,652,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,509,030 : 4,308,694,015 = 4,308,694,015 : x
  2. Step 2: Convert to fraction form
    1,996,509,030/4,308,694,015 = 4,308,694,015/x
  3. Step 3: Cross multiply
    1,996,509,030x = 4,308,694,015 × 4,308,694,015
  4. Step 4: Simplify right side
    1,996,509,030x = 18,564,844,114,896,822,272
  5. Step 5: Solve for x
    x = 18,564,844,114,896,822,272/1,996,509,030
  6. Step 6: Final answer
    x = 9,298,652,716.28

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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.