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Finding the Third Proportional to 2,773,005,694,656 and 6,038,301,718,400

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Solution

The third proportional to 2,773,005,694,656 and 6,038,301,718,400 is: 13,148,580,153,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773,005,694,656 : 6,038,301,718,400 = 6,038,301,718,400 : x
  2. Step 2: Convert to fraction form
    2,773,005,694,656/6,038,301,718,400 = 6,038,301,718,400/x
  3. Step 3: Cross multiply
    2,773,005,694,656x = 6,038,301,718,400 × 6,038,301,718,400
  4. Step 4: Simplify right side
    2,773,005,694,656x = 36,461,087,642,432,393,032,237,056
  5. Step 5: Solve for x
    x = 36,461,087,642,432,393,032,237,056/2,773,005,694,656
  6. Step 6: Final answer
    x = 13,148,580,153,549.05

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