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Finding the Third Proportional to 259,865,114.63 and 577,831,968

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Solution

The third proportional to 259,865,114.63 and 577,831,968 is: 1,284,858,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,114.63 : 577,831,968 = 577,831,968 : x
  2. Step 2: Convert to fraction form
    259,865,114.63/577,831,968 = 577,831,968/x
  3. Step 3: Cross multiply
    259,865,114.63x = 577,831,968 × 577,831,968
  4. Step 4: Simplify right side
    259,865,114.63x = 333,889,783,242,753,024
  5. Step 5: Solve for x
    x = 333,889,783,242,753,024/259,865,114.63
  6. Step 6: Final answer
    x = 1,284,858,045.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.