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Finding the Third Proportional to 6,511,140 and 9,578,538

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Solution

The third proportional to 6,511,140 and 9,578,538 is: 14,090,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,140 : 9,578,538 = 9,578,538 : x
  2. Step 2: Convert to fraction form
    6,511,140/9,578,538 = 9,578,538/x
  3. Step 3: Cross multiply
    6,511,140x = 9,578,538 × 9,578,538
  4. Step 4: Simplify right side
    6,511,140x = 91,748,390,217,444
  5. Step 5: Solve for x
    x = 91,748,390,217,444/6,511,140
  6. Step 6: Final answer
    x = 14,090,987.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.