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Finding the Third Proportional to 734,758,585 and 1,586,401,293.88

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Solution

The third proportional to 734,758,585 and 1,586,401,293.88 is: 3,425,164,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,758,585 : 1,586,401,293.88 = 1,586,401,293.88 : x
  2. Step 2: Convert to fraction form
    734,758,585/1,586,401,293.88 = 1,586,401,293.88/x
  3. Step 3: Cross multiply
    734,758,585x = 1,586,401,293.88 × 1,586,401,293.88
  4. Step 4: Simplify right side
    734,758,585x = 2,516,669,065,208,273,920
  5. Step 5: Solve for x
    x = 2,516,669,065,208,273,920/734,758,585
  6. Step 6: Final answer
    x = 3,425,164,559.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.