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Finding the Third Proportional to 1,251,376,707 and 1,893,170,670

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Solution

The third proportional to 1,251,376,707 and 1,893,170,670 is: 2,864,121,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,376,707 : 1,893,170,670 = 1,893,170,670 : x
  2. Step 2: Convert to fraction form
    1,251,376,707/1,893,170,670 = 1,893,170,670/x
  3. Step 3: Cross multiply
    1,251,376,707x = 1,893,170,670 × 1,893,170,670
  4. Step 4: Simplify right side
    1,251,376,707x = 3,584,095,185,748,249,088
  5. Step 5: Solve for x
    x = 3,584,095,185,748,249,088/1,251,376,707
  6. Step 6: Final answer
    x = 2,864,121,703.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.