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Finding the Third Proportional to 281,877,624 and 410,544,612

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Solution

The third proportional to 281,877,624 and 410,544,612 is: 597,943,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,877,624 : 410,544,612 = 410,544,612 : x
  2. Step 2: Convert to fraction form
    281,877,624/410,544,612 = 410,544,612/x
  3. Step 3: Cross multiply
    281,877,624x = 410,544,612 × 410,544,612
  4. Step 4: Simplify right side
    281,877,624x = 168,546,878,442,230,528
  5. Step 5: Solve for x
    x = 168,546,878,442,230,528/281,877,624
  6. Step 6: Final answer
    x = 597,943,448.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.