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Finding the Third Proportional to 517,093,640 and 1,105,840,528

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Solution

The third proportional to 517,093,640 and 1,105,840,528 is: 2,364,916,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,093,640 : 1,105,840,528 = 1,105,840,528 : x
  2. Step 2: Convert to fraction form
    517,093,640/1,105,840,528 = 1,105,840,528/x
  3. Step 3: Cross multiply
    517,093,640x = 1,105,840,528 × 1,105,840,528
  4. Step 4: Simplify right side
    517,093,640x = 1,222,883,273,367,318,784
  5. Step 5: Solve for x
    x = 1,222,883,273,367,318,784/517,093,640
  6. Step 6: Final answer
    x = 2,364,916,484.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.