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Finding the Third Proportional to 776,563,470 and 1,049,529,052.13

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Solution

The third proportional to 776,563,470 and 1,049,529,052.13 is: 1,418,443,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,563,470 : 1,049,529,052.13 = 1,049,529,052.13 : x
  2. Step 2: Convert to fraction form
    776,563,470/1,049,529,052.13 = 1,049,529,052.13/x
  3. Step 3: Cross multiply
    776,563,470x = 1,049,529,052.13 × 1,049,529,052.13
  4. Step 4: Simplify right side
    776,563,470x = 1,101,511,231,254,401,024
  5. Step 5: Solve for x
    x = 1,101,511,231,254,401,024/776,563,470
  6. Step 6: Final answer
    x = 1,418,443,274.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.