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Finding the Third Proportional to 30,085,871 and 45,834,047

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Solution

The third proportional to 30,085,871 and 45,834,047 is: 69,825,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085,871 : 45,834,047 = 45,834,047 : x
  2. Step 2: Convert to fraction form
    30,085,871/45,834,047 = 45,834,047/x
  3. Step 3: Cross multiply
    30,085,871x = 45,834,047 × 45,834,047
  4. Step 4: Simplify right side
    30,085,871x = 2,100,759,864,398,209
  5. Step 5: Solve for x
    x = 2,100,759,864,398,209/30,085,871
  6. Step 6: Final answer
    x = 69,825,462.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.