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Finding the Third Proportional to 2,383,689,358 and 5,131,679,154

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Solution

The third proportional to 2,383,689,358 and 5,131,679,154 is: 11,047,635,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383,689,358 : 5,131,679,154 = 5,131,679,154 : x
  2. Step 2: Convert to fraction form
    2,383,689,358/5,131,679,154 = 5,131,679,154/x
  3. Step 3: Cross multiply
    2,383,689,358x = 5,131,679,154 × 5,131,679,154
  4. Step 4: Simplify right side
    2,383,689,358x = 26,334,130,939,598,155,776
  5. Step 5: Solve for x
    x = 26,334,130,939,598,155,776/2,383,689,358
  6. Step 6: Final answer
    x = 11,047,635,402.33

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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.