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Finding the Third Proportional to 944,556,648 and 1,481,596,416

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Solution

The third proportional to 944,556,648 and 1,481,596,416 is: 2,323,977,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,556,648 : 1,481,596,416 = 1,481,596,416 : x
  2. Step 2: Convert to fraction form
    944,556,648/1,481,596,416 = 1,481,596,416/x
  3. Step 3: Cross multiply
    944,556,648x = 1,481,596,416 × 1,481,596,416
  4. Step 4: Simplify right side
    944,556,648x = 2,195,127,939,904,045,056
  5. Step 5: Solve for x
    x = 2,195,127,939,904,045,056/944,556,648
  6. Step 6: Final answer
    x = 2,323,977,015.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.