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Finding the Third Proportional to 9,438,292 and 14,574,692

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Solution

The third proportional to 9,438,292 and 14,574,692 is: 22,506,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438,292 : 14,574,692 = 14,574,692 : x
  2. Step 2: Convert to fraction form
    9,438,292/14,574,692 = 14,574,692/x
  3. Step 3: Cross multiply
    9,438,292x = 14,574,692 × 14,574,692
  4. Step 4: Simplify right side
    9,438,292x = 212,421,646,894,864
  5. Step 5: Solve for x
    x = 212,421,646,894,864/9,438,292
  6. Step 6: Final answer
    x = 22,506,365.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.