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Finding the Third Proportional to 657,628,778 and 1,431,026,711

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Solution

The third proportional to 657,628,778 and 1,431,026,711 is: 3,113,971,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,628,778 : 1,431,026,711 = 1,431,026,711 : x
  2. Step 2: Convert to fraction form
    657,628,778/1,431,026,711 = 1,431,026,711/x
  3. Step 3: Cross multiply
    657,628,778x = 1,431,026,711 × 1,431,026,711
  4. Step 4: Simplify right side
    657,628,778x = 2,047,837,447,595,477,504
  5. Step 5: Solve for x
    x = 2,047,837,447,595,477,504/657,628,778
  6. Step 6: Final answer
    x = 3,113,971,766.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.