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Finding the Third Proportional to 7,014,705,984 and 15,264,283,104

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Solution

The third proportional to 7,014,705,984 and 15,264,283,104 is: 33,215,695,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014,705,984 : 15,264,283,104 = 15,264,283,104 : x
  2. Step 2: Convert to fraction form
    7,014,705,984/15,264,283,104 = 15,264,283,104/x
  3. Step 3: Cross multiply
    7,014,705,984x = 15,264,283,104 × 15,264,283,104
  4. Step 4: Simplify right side
    7,014,705,984x = 232,998,338,679,059,873,792
  5. Step 5: Solve for x
    x = 232,998,338,679,059,873,792/7,014,705,984
  6. Step 6: Final answer
    x = 33,215,695,598.72

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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.