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Finding the Third Proportional to 360,226,512 and 849,514,200

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Solution

The third proportional to 360,226,512 and 849,514,200 is: 2,003,390,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,226,512 : 849,514,200 = 849,514,200 : x
  2. Step 2: Convert to fraction form
    360,226,512/849,514,200 = 849,514,200/x
  3. Step 3: Cross multiply
    360,226,512x = 849,514,200 × 849,514,200
  4. Step 4: Simplify right side
    360,226,512x = 721,674,376,001,639,936
  5. Step 5: Solve for x
    x = 721,674,376,001,639,936/360,226,512
  6. Step 6: Final answer
    x = 2,003,390,511.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.