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Finding the Third Proportional to 922,277,122,457.10 and 2,029,006,443,570.30

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Solution

The third proportional to 922,277,122,457.10 and 2,029,006,443,570.30 is: 4,463,807,079,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,277,122,457.10 : 2,029,006,443,570.30 = 2,029,006,443,570.30 : x
  2. Step 2: Convert to fraction form
    922,277,122,457.10/2,029,006,443,570.30 = 2,029,006,443,570.30/x
  3. Step 3: Cross multiply
    922,277,122,457.10x = 2,029,006,443,570.30 × 2,029,006,443,570.30
  4. Step 4: Simplify right side
    922,277,122,457.10x = 4,116,867,148,049,797,210,963,968
  5. Step 5: Solve for x
    x = 4,116,867,148,049,797,210,963,968/922,277,122,457.10
  6. Step 6: Final answer
    x = 4,463,807,079,028.24

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