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Finding the Third Proportional to 1,065,884,871 and 2,376,851,215

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Solution

The third proportional to 1,065,884,871 and 2,376,851,215 is: 5,300,217,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,884,871 : 2,376,851,215 = 2,376,851,215 : x
  2. Step 2: Convert to fraction form
    1,065,884,871/2,376,851,215 = 2,376,851,215/x
  3. Step 3: Cross multiply
    1,065,884,871x = 2,376,851,215 × 2,376,851,215
  4. Step 4: Simplify right side
    1,065,884,871x = 5,649,421,698,246,976,512
  5. Step 5: Solve for x
    x = 5,649,421,698,246,976,512/1,065,884,871
  6. Step 6: Final answer
    x = 5,300,217,548.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.