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Finding the Third Proportional to 702,905,070 and 1,463,989,167

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Solution

The third proportional to 702,905,070 and 1,463,989,167 is: 3,049,151,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,905,070 : 1,463,989,167 = 1,463,989,167 : x
  2. Step 2: Convert to fraction form
    702,905,070/1,463,989,167 = 1,463,989,167/x
  3. Step 3: Cross multiply
    702,905,070x = 1,463,989,167 × 1,463,989,167
  4. Step 4: Simplify right side
    702,905,070x = 2,143,264,281,093,353,984
  5. Step 5: Solve for x
    x = 2,143,264,281,093,353,984/702,905,070
  6. Step 6: Final answer
    x = 3,049,151,830.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.