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Finding the Third Proportional to 1,490,203,314 and 3,134,836,692

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Solution

The third proportional to 1,490,203,314 and 3,134,836,692 is: 6,594,537,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490,203,314 : 3,134,836,692 = 3,134,836,692 : x
  2. Step 2: Convert to fraction form
    1,490,203,314/3,134,836,692 = 3,134,836,692/x
  3. Step 3: Cross multiply
    1,490,203,314x = 3,134,836,692 × 3,134,836,692
  4. Step 4: Simplify right side
    1,490,203,314x = 9,827,201,085,509,502,976
  5. Step 5: Solve for x
    x = 9,827,201,085,509,502,976/1,490,203,314
  6. Step 6: Final answer
    x = 6,594,537,130.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.