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Finding the Third Proportional to 836,549,496 and 1,265,583,388

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Solution

The third proportional to 836,549,496 and 1,265,583,388 is: 1,914,652,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,549,496 : 1,265,583,388 = 1,265,583,388 : x
  2. Step 2: Convert to fraction form
    836,549,496/1,265,583,388 = 1,265,583,388/x
  3. Step 3: Cross multiply
    836,549,496x = 1,265,583,388 × 1,265,583,388
  4. Step 4: Simplify right side
    836,549,496x = 1,601,701,311,981,558,528
  5. Step 5: Solve for x
    x = 1,601,701,311,981,558,528/836,549,496
  6. Step 6: Final answer
    x = 1,914,652,174.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.