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Finding the Third Proportional to 1,757,826,585 and 3,757,403,331

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Solution

The third proportional to 1,757,826,585 and 3,757,403,331 is: 8,031,554,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757,826,585 : 3,757,403,331 = 3,757,403,331 : x
  2. Step 2: Convert to fraction form
    1,757,826,585/3,757,403,331 = 3,757,403,331/x
  3. Step 3: Cross multiply
    1,757,826,585x = 3,757,403,331 × 3,757,403,331
  4. Step 4: Simplify right side
    1,757,826,585x = 14,118,079,791,809,896,448
  5. Step 5: Solve for x
    x = 14,118,079,791,809,896,448/1,757,826,585
  6. Step 6: Final answer
    x = 8,031,554,370.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.