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Finding the Third Proportional to 7,928,960 and 12,602,352

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Solution

The third proportional to 7,928,960 and 12,602,352 is: 20,030,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928,960 : 12,602,352 = 12,602,352 : x
  2. Step 2: Convert to fraction form
    7,928,960/12,602,352 = 12,602,352/x
  3. Step 3: Cross multiply
    7,928,960x = 12,602,352 × 12,602,352
  4. Step 4: Simplify right side
    7,928,960x = 158,819,275,931,904
  5. Step 5: Solve for x
    x = 158,819,275,931,904/7,928,960
  6. Step 6: Final answer
    x = 20,030,278.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.