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Finding the Third Proportional to 635,189,752 and 1,375,903,708

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Solution

The third proportional to 635,189,752 and 1,375,903,708 is: 2,980,386,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,189,752 : 1,375,903,708 = 1,375,903,708 : x
  2. Step 2: Convert to fraction form
    635,189,752/1,375,903,708 = 1,375,903,708/x
  3. Step 3: Cross multiply
    635,189,752x = 1,375,903,708 × 1,375,903,708
  4. Step 4: Simplify right side
    635,189,752x = 1,893,111,013,688,149,248
  5. Step 5: Solve for x
    x = 1,893,111,013,688,149,248/635,189,752
  6. Step 6: Final answer
    x = 2,980,386,581.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.