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Finding the Third Proportional to 1,973,826,282 and 4,335,025,776

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Solution

The third proportional to 1,973,826,282 and 4,335,025,776 is: 9,520,821,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,826,282 : 4,335,025,776 = 4,335,025,776 : x
  2. Step 2: Convert to fraction form
    1,973,826,282/4,335,025,776 = 4,335,025,776/x
  3. Step 3: Cross multiply
    1,973,826,282x = 4,335,025,776 × 4,335,025,776
  4. Step 4: Simplify right side
    1,973,826,282x = 18,792,448,478,584,401,920
  5. Step 5: Solve for x
    x = 18,792,448,478,584,401,920/1,973,826,282
  6. Step 6: Final answer
    x = 9,520,821,892.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.