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Finding the Third Proportional to 734,758,839 and 1,586,401,893

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Solution

The third proportional to 734,758,839 and 1,586,401,893 is: 3,425,165,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,758,839 : 1,586,401,893 = 1,586,401,893 : x
  2. Step 2: Convert to fraction form
    734,758,839/1,586,401,893 = 1,586,401,893/x
  3. Step 3: Cross multiply
    734,758,839x = 1,586,401,893 × 1,586,401,893
  4. Step 4: Simplify right side
    734,758,839x = 2,516,670,966,113,983,488
  5. Step 5: Solve for x
    x = 2,516,670,966,113,983,488/734,758,839
  6. Step 6: Final answer
    x = 3,425,165,962.67

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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.