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Finding the Third Proportional to 714,980,064 and 1,539,519,945

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Solution

The third proportional to 714,980,064 and 1,539,519,945 is: 3,314,947,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,980,064 : 1,539,519,945 = 1,539,519,945 : x
  2. Step 2: Convert to fraction form
    714,980,064/1,539,519,945 = 1,539,519,945/x
  3. Step 3: Cross multiply
    714,980,064x = 1,539,519,945 × 1,539,519,945
  4. Step 4: Simplify right side
    714,980,064x = 2,370,121,661,052,803,072
  5. Step 5: Solve for x
    x = 2,370,121,661,052,803,072/714,980,064
  6. Step 6: Final answer
    x = 3,314,947,899.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.