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Finding the Third Proportional to 14,424,747 and 22,406,943

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Solution

The third proportional to 14,424,747 and 22,406,943 is: 34,806,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424,747 : 22,406,943 = 22,406,943 : x
  2. Step 2: Convert to fraction form
    14,424,747/22,406,943 = 22,406,943/x
  3. Step 3: Cross multiply
    14,424,747x = 22,406,943 × 22,406,943
  4. Step 4: Simplify right side
    14,424,747x = 502,071,094,605,249
  5. Step 5: Solve for x
    x = 502,071,094,605,249/14,424,747
  6. Step 6: Final answer
    x = 34,806,232.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.