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Finding the Third Proportional to 859,890,465,285.75 and 1,335,143,875,682.20

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Solution

The third proportional to 859,890,465,285.75 and 1,335,143,875,682.20 is: 2,073,065,396,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,890,465,285.75 : 1,335,143,875,682.20 = 1,335,143,875,682.20 : x
  2. Step 2: Convert to fraction form
    859,890,465,285.75/1,335,143,875,682.20 = 1,335,143,875,682.20/x
  3. Step 3: Cross multiply
    859,890,465,285.75x = 1,335,143,875,682.20 × 1,335,143,875,682.20
  4. Step 4: Simplify right side
    859,890,465,285.75x = 1,782,609,168,771,685,818,564,608
  5. Step 5: Solve for x
    x = 1,782,609,168,771,685,818,564,608/859,890,465,285.75
  6. Step 6: Final answer
    x = 2,073,065,396,973.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.