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Finding the Third Proportional to 5,966,804,092 and 9,360,154,806

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Solution

The third proportional to 5,966,804,092 and 9,360,154,806 is: 14,683,320,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966,804,092 : 9,360,154,806 = 9,360,154,806 : x
  2. Step 2: Convert to fraction form
    5,966,804,092/9,360,154,806 = 9,360,154,806/x
  3. Step 3: Cross multiply
    5,966,804,092x = 9,360,154,806 × 9,360,154,806
  4. Step 4: Simplify right side
    5,966,804,092x = 87,612,497,992,284,897,280
  5. Step 5: Solve for x
    x = 87,612,497,992,284,897,280/5,966,804,092
  6. Step 6: Final answer
    x = 14,683,320,692.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.