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Finding the Third Proportional to 6,232,275 and 9,573,537

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Solution

The third proportional to 6,232,275 and 9,573,537 is: 14,706,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232,275 : 9,573,537 = 9,573,537 : x
  2. Step 2: Convert to fraction form
    6,232,275/9,573,537 = 9,573,537/x
  3. Step 3: Cross multiply
    6,232,275x = 9,573,537 × 9,573,537
  4. Step 4: Simplify right side
    6,232,275x = 91,652,610,690,369
  5. Step 5: Solve for x
    x = 91,652,610,690,369/6,232,275
  6. Step 6: Final answer
    x = 14,706,124.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.