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Finding the Third Proportional to 7,728,652.13 and 10,496,263.50

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Solution

The third proportional to 7,728,652.13 and 10,496,263.50 is: 14,254,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728,652.13 : 10,496,263.50 = 10,496,263.50 : x
  2. Step 2: Convert to fraction form
    7,728,652.13/10,496,263.50 = 10,496,263.50/x
  3. Step 3: Cross multiply
    7,728,652.13x = 10,496,263.50 × 10,496,263.50
  4. Step 4: Simplify right side
    7,728,652.13x = 110,171,547,461,432.25
  5. Step 5: Solve for x
    x = 110,171,547,461,432.25/7,728,652.13
  6. Step 6: Final answer
    x = 14,254,949.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.