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Finding the Third Proportional to 6,004,899,801 and 12,506,819,643

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Solution

The third proportional to 6,004,899,801 and 12,506,819,643 is: 26,048,817,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004,899,801 : 12,506,819,643 = 12,506,819,643 : x
  2. Step 2: Convert to fraction form
    6,004,899,801/12,506,819,643 = 12,506,819,643/x
  3. Step 3: Cross multiply
    6,004,899,801x = 12,506,819,643 × 12,506,819,643
  4. Step 4: Simplify right side
    6,004,899,801x = 156,420,537,582,530,658,304
  5. Step 5: Solve for x
    x = 156,420,537,582,530,658,304/6,004,899,801
  6. Step 6: Final answer
    x = 26,048,817,260.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.