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Finding the Third Proportional to 34,765,871 and 75,578,953

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Solution

The third proportional to 34,765,871 and 75,578,953 is: 164,304,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765,871 : 75,578,953 = 75,578,953 : x
  2. Step 2: Convert to fraction form
    34,765,871/75,578,953 = 75,578,953/x
  3. Step 3: Cross multiply
    34,765,871x = 75,578,953 × 75,578,953
  4. Step 4: Simplify right side
    34,765,871x = 5,712,178,136,576,209
  5. Step 5: Solve for x
    x = 5,712,178,136,576,209/34,765,871
  6. Step 6: Final answer
    x = 164,304,186.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.