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Finding the Third Proportional to 658,230,060 and 1,370,941,434

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Solution

The third proportional to 658,230,060 and 1,370,941,434 is: 2,855,354,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,230,060 : 1,370,941,434 = 1,370,941,434 : x
  2. Step 2: Convert to fraction form
    658,230,060/1,370,941,434 = 1,370,941,434/x
  3. Step 3: Cross multiply
    658,230,060x = 1,370,941,434 × 1,370,941,434
  4. Step 4: Simplify right side
    658,230,060x = 1,879,480,415,457,976,320
  5. Step 5: Solve for x
    x = 1,879,480,415,457,976,320/658,230,060
  6. Step 6: Final answer
    x = 2,855,354,882.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.