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Finding the Third Proportional to 808,887,972 and 1,742,731,424

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Solution

The third proportional to 808,887,972 and 1,742,731,424 is: 3,754,676,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,887,972 : 1,742,731,424 = 1,742,731,424 : x
  2. Step 2: Convert to fraction form
    808,887,972/1,742,731,424 = 1,742,731,424/x
  3. Step 3: Cross multiply
    808,887,972x = 1,742,731,424 × 1,742,731,424
  4. Step 4: Simplify right side
    808,887,972x = 3,037,112,816,197,067,776
  5. Step 5: Solve for x
    x = 3,037,112,816,197,067,776/808,887,972
  6. Step 6: Final answer
    x = 3,754,676,693.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.