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Finding the Third Proportional to 5,948,705.50 and 8,026,209

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Solution

The third proportional to 5,948,705.50 and 8,026,209 is: 10,829,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948,705.50 : 8,026,209 = 8,026,209 : x
  2. Step 2: Convert to fraction form
    5,948,705.50/8,026,209 = 8,026,209/x
  3. Step 3: Cross multiply
    5,948,705.50x = 8,026,209 × 8,026,209
  4. Step 4: Simplify right side
    5,948,705.50x = 64,420,030,911,681
  5. Step 5: Solve for x
    x = 64,420,030,911,681/5,948,705.50
  6. Step 6: Final answer
    x = 10,829,252.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.