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Finding the Third Proportional to 313,572,753 and 487,500,835.50

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Solution

The third proportional to 313,572,753 and 487,500,835.50 is: 757,900,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,572,753 : 487,500,835.50 = 487,500,835.50 : x
  2. Step 2: Convert to fraction form
    313,572,753/487,500,835.50 = 487,500,835.50/x
  3. Step 3: Cross multiply
    313,572,753x = 487,500,835.50 × 487,500,835.50
  4. Step 4: Simplify right side
    313,572,753x = 237,657,064,613,198,048
  5. Step 5: Solve for x
    x = 237,657,064,613,198,048/313,572,753
  6. Step 6: Final answer
    x = 757,900,877.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.