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Finding the Third Proportional to 808,887,968 and 1,742,731,416

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Solution

The third proportional to 808,887,968 and 1,742,731,416 is: 3,754,676,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,887,968 : 1,742,731,416 = 1,742,731,416 : x
  2. Step 2: Convert to fraction form
    808,887,968/1,742,731,416 = 1,742,731,416/x
  3. Step 3: Cross multiply
    808,887,968x = 1,742,731,416 × 1,742,731,416
  4. Step 4: Simplify right side
    808,887,968x = 3,037,112,788,313,364,992
  5. Step 5: Solve for x
    x = 3,037,112,788,313,364,992/808,887,968
  6. Step 6: Final answer
    x = 3,754,676,677.69

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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.