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Finding the Third Proportional to 6,123,106,743,005 and 13,119,591,047,894

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Solution

The third proportional to 6,123,106,743,005 and 13,119,591,047,894 is: 28,110,512,602,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123,106,743,005 : 13,119,591,047,894 = 13,119,591,047,894 : x
  2. Step 2: Convert to fraction form
    6,123,106,743,005/13,119,591,047,894 = 13,119,591,047,894/x
  3. Step 3: Cross multiply
    6,123,106,743,005x = 13,119,591,047,894 × 13,119,591,047,894
  4. Step 4: Simplify right side
    6,123,106,743,005x = 172,123,669,263,980,378,443,481,088
  5. Step 5: Solve for x
    x = 172,123,669,263,980,378,443,481,088/6,123,106,743,005
  6. Step 6: Final answer
    x = 28,110,512,602,220.01

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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.