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Finding the Third Proportional to 5,748,618 and 9,017,871

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Solution

The third proportional to 5,748,618 and 9,017,871 is: 14,146,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,618 : 9,017,871 = 9,017,871 : x
  2. Step 2: Convert to fraction form
    5,748,618/9,017,871 = 9,017,871/x
  3. Step 3: Cross multiply
    5,748,618x = 9,017,871 × 9,017,871
  4. Step 4: Simplify right side
    5,748,618x = 81,321,997,372,641
  5. Step 5: Solve for x
    x = 81,321,997,372,641/5,748,618
  6. Step 6: Final answer
    x = 14,146,356.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.