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Finding the Third Proportional to 47,828,316,932 and 102,754,509,968

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Solution

The third proportional to 47,828,316,932 and 102,754,509,968 is: 220,758,119,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,828,316,932 : 102,754,509,968 = 102,754,509,968 : x
  2. Step 2: Convert to fraction form
    47,828,316,932/102,754,509,968 = 102,754,509,968/x
  3. Step 3: Cross multiply
    47,828,316,932x = 102,754,509,968 × 102,754,509,968
  4. Step 4: Simplify right side
    47,828,316,932x = 10,558,489,318,763,811,307,520
  5. Step 5: Solve for x
    x = 10,558,489,318,763,811,307,520/47,828,316,932
  6. Step 6: Final answer
    x = 220,758,119,792.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.