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Finding the Third Proportional to 7,857,866,232 and 11,783,913,102

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Solution

The third proportional to 7,857,866,232 and 11,783,913,102 is: 17,671,541,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857,866,232 : 11,783,913,102 = 11,783,913,102 : x
  2. Step 2: Convert to fraction form
    7,857,866,232/11,783,913,102 = 11,783,913,102/x
  3. Step 3: Cross multiply
    7,857,866,232x = 11,783,913,102 × 11,783,913,102
  4. Step 4: Simplify right side
    7,857,866,232x = 138,860,607,995,487,256,576
  5. Step 5: Solve for x
    x = 138,860,607,995,487,256,576/7,857,866,232
  6. Step 6: Final answer
    x = 17,671,541,344.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.