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Finding the Third Proportional to 14,463,720 and 19,643,526

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Solution

The third proportional to 14,463,720 and 19,643,526 is: 26,678,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463,720 : 19,643,526 = 19,643,526 : x
  2. Step 2: Convert to fraction form
    14,463,720/19,643,526 = 19,643,526/x
  3. Step 3: Cross multiply
    14,463,720x = 19,643,526 × 19,643,526
  4. Step 4: Simplify right side
    14,463,720x = 385,868,113,712,676
  5. Step 5: Solve for x
    x = 385,868,113,712,676/14,463,720
  6. Step 6: Final answer
    x = 26,678,345.11

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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.