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Finding the Third Proportional to 11,406,348 and 23,756,202

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Solution

The third proportional to 11,406,348 and 23,756,202 is: 49,477,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406,348 : 23,756,202 = 23,756,202 : x
  2. Step 2: Convert to fraction form
    11,406,348/23,756,202 = 23,756,202/x
  3. Step 3: Cross multiply
    11,406,348x = 23,756,202 × 23,756,202
  4. Step 4: Simplify right side
    11,406,348x = 564,357,133,464,804
  5. Step 5: Solve for x
    x = 564,357,133,464,804/11,406,348
  6. Step 6: Final answer
    x = 49,477,460.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.