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Finding the Third Proportional to 45,244,042,020 and 95,176,732,104

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Solution

The third proportional to 45,244,042,020 and 95,176,732,104 is: 200,216,645,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,244,042,020 : 95,176,732,104 = 95,176,732,104 : x
  2. Step 2: Convert to fraction form
    45,244,042,020/95,176,732,104 = 95,176,732,104/x
  3. Step 3: Cross multiply
    45,244,042,020x = 95,176,732,104 × 95,176,732,104
  4. Step 4: Simplify right side
    45,244,042,020x = 9,058,610,333,996,583,747,584
  5. Step 5: Solve for x
    x = 9,058,610,333,996,583,747,584/45,244,042,020
  6. Step 6: Final answer
    x = 200,216,645,762.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.