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Finding the Third Proportional to 6,991,541,628 and 14,980,331,199

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Solution

The third proportional to 6,991,541,628 and 14,980,331,199 is: 32,097,402,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991,541,628 : 14,980,331,199 = 14,980,331,199 : x
  2. Step 2: Convert to fraction form
    6,991,541,628/14,980,331,199 = 14,980,331,199/x
  3. Step 3: Cross multiply
    6,991,541,628x = 14,980,331,199 × 14,980,331,199
  4. Step 4: Simplify right side
    6,991,541,628x = 224,410,322,831,732,768,768
  5. Step 5: Solve for x
    x = 224,410,322,831,732,768,768/6,991,541,628
  6. Step 6: Final answer
    x = 32,097,402,085.54

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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.