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Finding the Third Proportional to 1,157,013,680 and 1,762,590,797

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Solution

The third proportional to 1,157,013,680 and 1,762,590,797 is: 2,685,124,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,013,680 : 1,762,590,797 = 1,762,590,797 : x
  2. Step 2: Convert to fraction form
    1,157,013,680/1,762,590,797 = 1,762,590,797/x
  3. Step 3: Cross multiply
    1,157,013,680x = 1,762,590,797 × 1,762,590,797
  4. Step 4: Simplify right side
    1,157,013,680x = 3,106,726,317,669,095,424
  5. Step 5: Solve for x
    x = 3,106,726,317,669,095,424/1,157,013,680
  6. Step 6: Final answer
    x = 2,685,124,965.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.