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Finding the Third Proportional to 6,715,602,313.50 and 14,374,587,132

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Solution

The third proportional to 6,715,602,313.50 and 14,374,587,132 is: 30,768,462,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715,602,313.50 : 14,374,587,132 = 14,374,587,132 : x
  2. Step 2: Convert to fraction form
    6,715,602,313.50/14,374,587,132 = 14,374,587,132/x
  3. Step 3: Cross multiply
    6,715,602,313.50x = 14,374,587,132 × 14,374,587,132
  4. Step 4: Simplify right side
    6,715,602,313.50x = 206,628,755,215,459,975,168
  5. Step 5: Solve for x
    x = 206,628,755,215,459,975,168/6,715,602,313.50
  6. Step 6: Final answer
    x = 30,768,462,093.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.