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Finding the Third Proportional to 982,979,096 and 2,111,834,944

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Solution

The third proportional to 982,979,096 and 2,111,834,944 is: 4,537,071,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,979,096 : 2,111,834,944 = 2,111,834,944 : x
  2. Step 2: Convert to fraction form
    982,979,096/2,111,834,944 = 2,111,834,944/x
  3. Step 3: Cross multiply
    982,979,096x = 2,111,834,944 × 2,111,834,944
  4. Step 4: Simplify right side
    982,979,096x = 4,459,846,830,699,483,136
  5. Step 5: Solve for x
    x = 4,459,846,830,699,483,136/982,979,096
  6. Step 6: Final answer
    x = 4,537,071,895.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.