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Finding the Third Proportional to 1,062,008,026 and 1,662,298,710

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Solution

The third proportional to 1,062,008,026 and 1,662,298,710 is: 2,601,898,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,008,026 : 1,662,298,710 = 1,662,298,710 : x
  2. Step 2: Convert to fraction form
    1,062,008,026/1,662,298,710 = 1,662,298,710/x
  3. Step 3: Cross multiply
    1,062,008,026x = 1,662,298,710 × 1,662,298,710
  4. Step 4: Simplify right side
    1,062,008,026x = 2,763,237,001,267,663,872
  5. Step 5: Solve for x
    x = 2,763,237,001,267,663,872/1,062,008,026
  6. Step 6: Final answer
    x = 2,601,898,416.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.