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Finding the Third Proportional to 7,183,057,875,856 and 15,630,623,615,264

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Solution

The third proportional to 7,183,057,875,856 and 15,630,623,615,264 is: 34,012,867,336,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183,057,875,856 : 15,630,623,615,264 = 15,630,623,615,264 : x
  2. Step 2: Convert to fraction form
    7,183,057,875,856/15,630,623,615,264 = 15,630,623,615,264/x
  3. Step 3: Cross multiply
    7,183,057,875,856x = 15,630,623,615,264 × 15,630,623,615,264
  4. Step 4: Simplify right side
    7,183,057,875,856x = 244,316,394,602,048,638,957,912,064
  5. Step 5: Solve for x
    x = 244,316,394,602,048,638,957,912,064/7,183,057,875,856
  6. Step 6: Final answer
    x = 34,012,867,336,521.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.