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Finding the Third Proportional to 1,676,478,729 and 3,526,691,280

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Solution

The third proportional to 1,676,478,729 and 3,526,691,280 is: 7,418,854,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,478,729 : 3,526,691,280 = 3,526,691,280 : x
  2. Step 2: Convert to fraction form
    1,676,478,729/3,526,691,280 = 3,526,691,280/x
  3. Step 3: Cross multiply
    1,676,478,729x = 3,526,691,280 × 3,526,691,280
  4. Step 4: Simplify right side
    1,676,478,729x = 12,437,551,384,428,038,144
  5. Step 5: Solve for x
    x = 12,437,551,384,428,038,144/1,676,478,729
  6. Step 6: Final answer
    x = 7,418,854,274.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.