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Finding the Third Proportional to 40,484,043,784 and 89,064,754,724

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Solution

The third proportional to 40,484,043,784 and 89,064,754,724 is: 195,942,148,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,484,043,784 : 89,064,754,724 = 89,064,754,724 : x
  2. Step 2: Convert to fraction form
    40,484,043,784/89,064,754,724 = 89,064,754,724/x
  3. Step 3: Cross multiply
    40,484,043,784x = 89,064,754,724 × 89,064,754,724
  4. Step 4: Simplify right side
    40,484,043,784x = 7,932,530,534,046,280,712,192
  5. Step 5: Solve for x
    x = 7,932,530,534,046,280,712,192/40,484,043,784
  6. Step 6: Final answer
    x = 195,942,148,871.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.