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Finding the Third Proportional to 1,695,429,722,022 and 2,605,997,038,473

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Solution

The third proportional to 1,695,429,722,022 and 2,605,997,038,473 is: 4,005,604,287,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695,429,722,022 : 2,605,997,038,473 = 2,605,997,038,473 : x
  2. Step 2: Convert to fraction form
    1,695,429,722,022/2,605,997,038,473 = 2,605,997,038,473/x
  3. Step 3: Cross multiply
    1,695,429,722,022x = 2,605,997,038,473 × 2,605,997,038,473
  4. Step 4: Simplify right side
    1,695,429,722,022x = 6,791,220,564,530,046,114,463,744
  5. Step 5: Solve for x
    x = 6,791,220,564,530,046,114,463,744/1,695,429,722,022
  6. Step 6: Final answer
    x = 4,005,604,287,997.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.