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Finding the Third Proportional to 12,563,525,344 and 18,602,711,700

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Solution

The third proportional to 12,563,525,344 and 18,602,711,700 is: 27,544,886,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563,525,344 : 18,602,711,700 = 18,602,711,700 : x
  2. Step 2: Convert to fraction form
    12,563,525,344/18,602,711,700 = 18,602,711,700/x
  3. Step 3: Cross multiply
    12,563,525,344x = 18,602,711,700 × 18,602,711,700
  4. Step 4: Simplify right side
    12,563,525,344x = 346,060,882,593,316,864,000
  5. Step 5: Solve for x
    x = 346,060,882,593,316,864,000/12,563,525,344
  6. Step 6: Final answer
    x = 27,544,886,735.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.