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Finding the Third Proportional to 6,461,242,425 and 14,054,553,810

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Solution

The third proportional to 6,461,242,425 and 14,054,553,810 is: 30,571,594,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,242,425 : 14,054,553,810 = 14,054,553,810 : x
  2. Step 2: Convert to fraction form
    6,461,242,425/14,054,553,810 = 14,054,553,810/x
  3. Step 3: Cross multiply
    6,461,242,425x = 14,054,553,810 × 14,054,553,810
  4. Step 4: Simplify right side
    6,461,242,425x = 197,530,482,798,185,512,960
  5. Step 5: Solve for x
    x = 197,530,482,798,185,512,960/6,461,242,425
  6. Step 6: Final answer
    x = 30,571,594,409.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.