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Finding the Third Proportional to 5,119,199,836 and 7,645,254,072

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Solution

The third proportional to 5,119,199,836 and 7,645,254,072 is: 11,417,782,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119,199,836 : 7,645,254,072 = 7,645,254,072 : x
  2. Step 2: Convert to fraction form
    5,119,199,836/7,645,254,072 = 7,645,254,072/x
  3. Step 3: Cross multiply
    5,119,199,836x = 7,645,254,072 × 7,645,254,072
  4. Step 4: Simplify right side
    5,119,199,836x = 58,449,909,825,432,584,192
  5. Step 5: Solve for x
    x = 58,449,909,825,432,584,192/5,119,199,836
  6. Step 6: Final answer
    x = 11,417,782,407.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.