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Finding the Third Proportional to 12,029,264.25 and 28,069,252.50

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Solution

The third proportional to 12,029,264.25 and 28,069,252.50 is: 65,497,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029,264.25 : 28,069,252.50 = 28,069,252.50 : x
  2. Step 2: Convert to fraction form
    12,029,264.25/28,069,252.50 = 28,069,252.50/x
  3. Step 3: Cross multiply
    12,029,264.25x = 28,069,252.50 × 28,069,252.50
  4. Step 4: Simplify right side
    12,029,264.25x = 787,882,935,908,756.25
  5. Step 5: Solve for x
    x = 787,882,935,908,756.25/12,029,264.25
  6. Step 6: Final answer
    x = 65,497,184.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.