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Finding the Third Proportional to 3,115,174,534 and 6,702,822,809.50

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Solution

The third proportional to 3,115,174,534 and 6,702,822,809.50 is: 14,422,252,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115,174,534 : 6,702,822,809.50 = 6,702,822,809.50 : x
  2. Step 2: Convert to fraction form
    3,115,174,534/6,702,822,809.50 = 6,702,822,809.50/x
  3. Step 3: Cross multiply
    3,115,174,534x = 6,702,822,809.50 × 6,702,822,809.50
  4. Step 4: Simplify right side
    3,115,174,534x = 44,927,833,615,553,470,464
  5. Step 5: Solve for x
    x = 44,927,833,615,553,470,464/3,115,174,534
  6. Step 6: Final answer
    x = 14,422,252,469.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.