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Finding the Third Proportional to 1,161,099,984 and 2,506,905,744

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Solution

The third proportional to 1,161,099,984 and 2,506,905,744 is: 5,412,605,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,099,984 : 2,506,905,744 = 2,506,905,744 : x
  2. Step 2: Convert to fraction form
    1,161,099,984/2,506,905,744 = 2,506,905,744/x
  3. Step 3: Cross multiply
    1,161,099,984x = 2,506,905,744 × 2,506,905,744
  4. Step 4: Simplify right side
    1,161,099,984x = 6,284,576,409,300,193,280
  5. Step 5: Solve for x
    x = 6,284,576,409,300,193,280/1,161,099,984
  6. Step 6: Final answer
    x = 5,412,605,715.19

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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.