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Finding the Third Proportional to 856,832,613 and 1,865,778,237

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Solution

The third proportional to 856,832,613 and 1,865,778,237 is: 4,062,787,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,832,613 : 1,865,778,237 = 1,865,778,237 : x
  2. Step 2: Convert to fraction form
    856,832,613/1,865,778,237 = 1,865,778,237/x
  3. Step 3: Cross multiply
    856,832,613x = 1,865,778,237 × 1,865,778,237
  4. Step 4: Simplify right side
    856,832,613x = 3,481,128,429,662,828,032
  5. Step 5: Solve for x
    x = 3,481,128,429,662,828,032/856,832,613
  6. Step 6: Final answer
    x = 4,062,787,033.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.