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Finding the Third Proportional to 3,023,652.80 and 6,528,308.91

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Solution

The third proportional to 3,023,652.80 and 6,528,308.91 is: 14,095,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,652.80 : 6,528,308.91 = 6,528,308.91 : x
  2. Step 2: Convert to fraction form
    3,023,652.80/6,528,308.91 = 6,528,308.91/x
  3. Step 3: Cross multiply
    3,023,652.80x = 6,528,308.91 × 6,528,308.91
  4. Step 4: Simplify right side
    3,023,652.80x = 42,618,817,175,423.07
  5. Step 5: Solve for x
    x = 42,618,817,175,423.07/3,023,652.80
  6. Step 6: Final answer
    x = 14,095,142.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.