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Finding the Third Proportional to 4,597,290 and 9,754,971

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Solution

The third proportional to 4,597,290 and 9,754,971 is: 20,699,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597,290 : 9,754,971 = 9,754,971 : x
  2. Step 2: Convert to fraction form
    4,597,290/9,754,971 = 9,754,971/x
  3. Step 3: Cross multiply
    4,597,290x = 9,754,971 × 9,754,971
  4. Step 4: Simplify right side
    4,597,290x = 95,159,459,210,841
  5. Step 5: Solve for x
    x = 95,159,459,210,841/4,597,290
  6. Step 6: Final answer
    x = 20,699,033.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.