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Finding the Third Proportional to 42,955,277,041 and 87,135,370,583

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Solution

The third proportional to 42,955,277,041 and 87,135,370,583 is: 176,755,298,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,955,277,041 : 87,135,370,583 = 87,135,370,583 : x
  2. Step 2: Convert to fraction form
    42,955,277,041/87,135,370,583 = 87,135,370,583/x
  3. Step 3: Cross multiply
    42,955,277,041x = 87,135,370,583 × 87,135,370,583
  4. Step 4: Simplify right side
    42,955,277,041x = 7,592,572,806,636,742,115,328
  5. Step 5: Solve for x
    x = 7,592,572,806,636,742,115,328/42,955,277,041
  6. Step 6: Final answer
    x = 176,755,298,292.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.