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Finding the Third Proportional to 564,945,672 and 1,197,095,424

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Solution

The third proportional to 564,945,672 and 1,197,095,424 is: 2,536,593,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,945,672 : 1,197,095,424 = 1,197,095,424 : x
  2. Step 2: Convert to fraction form
    564,945,672/1,197,095,424 = 1,197,095,424/x
  3. Step 3: Cross multiply
    564,945,672x = 1,197,095,424 × 1,197,095,424
  4. Step 4: Simplify right side
    564,945,672x = 1,433,037,454,161,739,776
  5. Step 5: Solve for x
    x = 1,433,037,454,161,739,776/564,945,672
  6. Step 6: Final answer
    x = 2,536,593,384.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.