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Finding the Third Proportional to 7,402,752 and 17,135,784

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Solution

The third proportional to 7,402,752 and 17,135,784 is: 39,665,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402,752 : 17,135,784 = 17,135,784 : x
  2. Step 2: Convert to fraction form
    7,402,752/17,135,784 = 17,135,784/x
  3. Step 3: Cross multiply
    7,402,752x = 17,135,784 × 17,135,784
  4. Step 4: Simplify right side
    7,402,752x = 293,635,093,294,656
  5. Step 5: Solve for x
    x = 293,635,093,294,656/7,402,752
  6. Step 6: Final answer
    x = 39,665,666.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.