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Finding the Third Proportional to 2,185,881,224 and 4,720,773,136

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Solution

The third proportional to 2,185,881,224 and 4,720,773,136 is: 10,195,292,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185,881,224 : 4,720,773,136 = 4,720,773,136 : x
  2. Step 2: Convert to fraction form
    2,185,881,224/4,720,773,136 = 4,720,773,136/x
  3. Step 3: Cross multiply
    2,185,881,224x = 4,720,773,136 × 4,720,773,136
  4. Step 4: Simplify right side
    2,185,881,224x = 22,285,699,001,579,274,240
  5. Step 5: Solve for x
    x = 22,285,699,001,579,274,240/2,185,881,224
  6. Step 6: Final answer
    x = 10,195,292,752.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.