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Finding the Third Proportional to 9,767,812.50 and 14,368,775.63

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Solution

The third proportional to 9,767,812.50 and 14,368,775.63 is: 21,136,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767,812.50 : 14,368,775.63 = 14,368,775.63 : x
  2. Step 2: Convert to fraction form
    9,767,812.50/14,368,775.63 = 14,368,775.63/x
  3. Step 3: Cross multiply
    9,767,812.50x = 14,368,775.63 × 14,368,775.63
  4. Step 4: Simplify right side
    9,767,812.50x = 206,461,712,961,594.12
  5. Step 5: Solve for x
    x = 206,461,712,961,594.12/9,767,812.50
  6. Step 6: Final answer
    x = 21,136,944.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.