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Finding the Third Proportional to 1,759,777,152 and 3,822,226,632

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Solution

The third proportional to 1,759,777,152 and 3,822,226,632 is: 8,301,855,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759,777,152 : 3,822,226,632 = 3,822,226,632 : x
  2. Step 2: Convert to fraction form
    1,759,777,152/3,822,226,632 = 3,822,226,632/x
  3. Step 3: Cross multiply
    1,759,777,152x = 3,822,226,632 × 3,822,226,632
  4. Step 4: Simplify right side
    1,759,777,152x = 14,609,416,426,370,064,384
  5. Step 5: Solve for x
    x = 14,609,416,426,370,064,384/1,759,777,152
  6. Step 6: Final answer
    x = 8,301,855,953.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.