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Finding the Third Proportional to 808,887,920.63 and 1,742,731,316.44

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Solution

The third proportional to 808,887,920.63 and 1,742,731,316.44 is: 3,754,676,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,887,920.63 : 1,742,731,316.44 = 1,742,731,316.44 : x
  2. Step 2: Convert to fraction form
    808,887,920.63/1,742,731,316.44 = 1,742,731,316.44/x
  3. Step 3: Cross multiply
    808,887,920.63x = 1,742,731,316.44 × 1,742,731,316.44
  4. Step 4: Simplify right side
    808,887,920.63x = 3,037,112,441,291,981,824
  5. Step 5: Solve for x
    x = 3,037,112,441,291,981,824/808,887,920.63
  6. Step 6: Final answer
    x = 3,754,676,468.58

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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.