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Finding the Third Proportional to 724,700,648,748 and 1,576,637,100,491

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Solution

The third proportional to 724,700,648,748 and 1,576,637,100,491 is: 3,430,084,616,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,700,648,748 : 1,576,637,100,491 = 1,576,637,100,491 : x
  2. Step 2: Convert to fraction form
    724,700,648,748/1,576,637,100,491 = 1,576,637,100,491/x
  3. Step 3: Cross multiply
    724,700,648,748x = 1,576,637,100,491 × 1,576,637,100,491
  4. Step 4: Simplify right side
    724,700,648,748x = 2,485,784,546,644,667,733,639,168
  5. Step 5: Solve for x
    x = 2,485,784,546,644,667,733,639,168/724,700,648,748
  6. Step 6: Final answer
    x = 3,430,084,616,233.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.