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Finding the Third Proportional to 10,709,590 and 16,315,386

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Solution

The third proportional to 10,709,590 and 16,315,386 is: 24,855,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709,590 : 16,315,386 = 16,315,386 : x
  2. Step 2: Convert to fraction form
    10,709,590/16,315,386 = 16,315,386/x
  3. Step 3: Cross multiply
    10,709,590x = 16,315,386 × 16,315,386
  4. Step 4: Simplify right side
    10,709,590x = 266,191,820,328,996
  5. Step 5: Solve for x
    x = 266,191,820,328,996/10,709,590
  6. Step 6: Final answer
    x = 24,855,463.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.