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Finding the Third Proportional to 1,145,238,984 and 1,751,139,149

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Solution

The third proportional to 1,145,238,984 and 1,751,139,149 is: 2,677,596,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,238,984 : 1,751,139,149 = 1,751,139,149 : x
  2. Step 2: Convert to fraction form
    1,145,238,984/1,751,139,149 = 1,751,139,149/x
  3. Step 3: Cross multiply
    1,145,238,984x = 1,751,139,149 × 1,751,139,149
  4. Step 4: Simplify right side
    1,145,238,984x = 3,066,488,319,160,444,416
  5. Step 5: Solve for x
    x = 3,066,488,319,160,444,416/1,145,238,984
  6. Step 6: Final answer
    x = 2,677,596,870.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.