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Finding the Third Proportional to 1,297,260,709.88 and 1,937,390,218.59

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Solution

The third proportional to 1,297,260,709.88 and 1,937,390,218.59 is: 2,893,389,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,260,709.88 : 1,937,390,218.59 = 1,937,390,218.59 : x
  2. Step 2: Convert to fraction form
    1,297,260,709.88/1,937,390,218.59 = 1,937,390,218.59/x
  3. Step 3: Cross multiply
    1,297,260,709.88x = 1,937,390,218.59 × 1,937,390,218.59
  4. Step 4: Simplify right side
    1,297,260,709.88x = 3,753,480,859,102,932,480
  5. Step 5: Solve for x
    x = 3,753,480,859,102,932,480/1,297,260,709.88
  6. Step 6: Final answer
    x = 2,893,389,763.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.