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Finding the Third Proportional to 47,828,316,732 and 102,754,509,624

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Solution

The third proportional to 47,828,316,732 and 102,754,509,624 is: 220,758,119,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,828,316,732 : 102,754,509,624 = 102,754,509,624 : x
  2. Step 2: Convert to fraction form
    47,828,316,732/102,754,509,624 = 102,754,509,624/x
  3. Step 3: Cross multiply
    47,828,316,732x = 102,754,509,624 × 102,754,509,624
  4. Step 4: Simplify right side
    47,828,316,732x = 10,558,489,248,068,708,335,616
  5. Step 5: Solve for x
    x = 10,558,489,248,068,708,335,616/47,828,316,732
  6. Step 6: Final answer
    x = 220,758,119,237.85

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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.