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Finding the Third Proportional to 7,014,705,442 and 15,264,281,804

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Solution

The third proportional to 7,014,705,442 and 15,264,281,804 is: 33,215,692,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014,705,442 : 15,264,281,804 = 15,264,281,804 : x
  2. Step 2: Convert to fraction form
    7,014,705,442/15,264,281,804 = 15,264,281,804/x
  3. Step 3: Cross multiply
    7,014,705,442x = 15,264,281,804 × 15,264,281,804
  4. Step 4: Simplify right side
    7,014,705,442x = 232,998,298,991,925,493,760
  5. Step 5: Solve for x
    x = 232,998,298,991,925,493,760/7,014,705,442
  6. Step 6: Final answer
    x = 33,215,692,507.47

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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.