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Finding the Third Proportional to 671,329,878 and 1,036,808,013

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Solution

The third proportional to 671,329,878 and 1,036,808,013 is: 1,601,255,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,329,878 : 1,036,808,013 = 1,036,808,013 : x
  2. Step 2: Convert to fraction form
    671,329,878/1,036,808,013 = 1,036,808,013/x
  3. Step 3: Cross multiply
    671,329,878x = 1,036,808,013 × 1,036,808,013
  4. Step 4: Simplify right side
    671,329,878x = 1,074,970,855,821,008,128
  5. Step 5: Solve for x
    x = 1,074,970,855,821,008,128/671,329,878
  6. Step 6: Final answer
    x = 1,601,255,792.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.