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Finding the Third Proportional to 6,330,082,248 and 9,305,501,688

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Solution

The third proportional to 6,330,082,248 and 9,305,501,688 is: 13,679,500,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330,082,248 : 9,305,501,688 = 9,305,501,688 : x
  2. Step 2: Convert to fraction form
    6,330,082,248/9,305,501,688 = 9,305,501,688/x
  3. Step 3: Cross multiply
    6,330,082,248x = 9,305,501,688 × 9,305,501,688
  4. Step 4: Simplify right side
    6,330,082,248x = 86,592,361,665,370,849,280
  5. Step 5: Solve for x
    x = 86,592,361,665,370,849,280/6,330,082,248
  6. Step 6: Final answer
    x = 13,679,500,245.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.