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Finding the Third Proportional to 6,928,615,324 and 10,010,654,823

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Solution

The third proportional to 6,928,615,324 and 10,010,654,823 is: 14,463,670,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928,615,324 : 10,010,654,823 = 10,010,654,823 : x
  2. Step 2: Convert to fraction form
    6,928,615,324/10,010,654,823 = 10,010,654,823/x
  3. Step 3: Cross multiply
    6,928,615,324x = 10,010,654,823 × 10,010,654,823
  4. Step 4: Simplify right side
    6,928,615,324x = 100,213,209,985,253,163,008
  5. Step 5: Solve for x
    x = 100,213,209,985,253,163,008/6,928,615,324
  6. Step 6: Final answer
    x = 14,463,670,632.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.