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Finding the Third Proportional to 3,628,507,699,600 and 7,774,572,472,896

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Solution

The third proportional to 3,628,507,699,600 and 7,774,572,472,896 is: 16,658,081,542,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628,507,699,600 : 7,774,572,472,896 = 7,774,572,472,896 : x
  2. Step 2: Convert to fraction form
    3,628,507,699,600/7,774,572,472,896 = 7,774,572,472,896/x
  3. Step 3: Cross multiply
    3,628,507,699,600x = 7,774,572,472,896 × 7,774,572,472,896
  4. Step 4: Simplify right side
    3,628,507,699,600x = 60,443,977,136,312,221,154,934,784
  5. Step 5: Solve for x
    x = 60,443,977,136,312,221,154,934,784/3,628,507,699,600
  6. Step 6: Final answer
    x = 16,658,081,542,165.52

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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.