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Finding the Third Proportional to 3,209,497,334 and 6,988,775,141

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Solution

The third proportional to 3,209,497,334 and 6,988,775,141 is: 15,218,264,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,497,334 : 6,988,775,141 = 6,988,775,141 : x
  2. Step 2: Convert to fraction form
    3,209,497,334/6,988,775,141 = 6,988,775,141/x
  3. Step 3: Cross multiply
    3,209,497,334x = 6,988,775,141 × 6,988,775,141
  4. Step 4: Simplify right side
    3,209,497,334x = 48,842,977,971,459,571,712
  5. Step 5: Solve for x
    x = 48,842,977,971,459,571,712/3,209,497,334
  6. Step 6: Final answer
    x = 15,218,264,073.33

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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.