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Finding the Third Proportional to 6,004,899,797 and 12,506,819,635

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Solution

The third proportional to 6,004,899,797 and 12,506,819,635 is: 26,048,817,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004,899,797 : 12,506,819,635 = 12,506,819,635 : x
  2. Step 2: Convert to fraction form
    6,004,899,797/12,506,819,635 = 12,506,819,635/x
  3. Step 3: Cross multiply
    6,004,899,797x = 12,506,819,635 × 12,506,819,635
  4. Step 4: Simplify right side
    6,004,899,797x = 156,420,537,382,421,528,576
  5. Step 5: Solve for x
    x = 156,420,537,382,421,528,576/6,004,899,797
  6. Step 6: Final answer
    x = 26,048,817,244.31

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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.