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Finding the Third Proportional to 530,984,442,758 and 1,167,879,961,666

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Solution

The third proportional to 530,984,442,758 and 1,167,879,961,666 is: 2,568,707,282,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,984,442,758 : 1,167,879,961,666 = 1,167,879,961,666 : x
  2. Step 2: Convert to fraction form
    530,984,442,758/1,167,879,961,666 = 1,167,879,961,666/x
  3. Step 3: Cross multiply
    530,984,442,758x = 1,167,879,961,666 × 1,167,879,961,666
  4. Step 4: Simplify right side
    530,984,442,758x = 1,363,943,604,860,977,539,973,120
  5. Step 5: Solve for x
    x = 1,363,943,604,860,977,539,973,120/530,984,442,758
  6. Step 6: Final answer
    x = 2,568,707,282,225.60

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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.