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Finding the Third Proportional to 6,908,000,301 and 10,611,533,431

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Solution

The third proportional to 6,908,000,301 and 10,611,533,431 is: 16,300,613,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908,000,301 : 10,611,533,431 = 10,611,533,431 : x
  2. Step 2: Convert to fraction form
    6,908,000,301/10,611,533,431 = 10,611,533,431/x
  3. Step 3: Cross multiply
    6,908,000,301x = 10,611,533,431 × 10,611,533,431
  4. Step 4: Simplify right side
    6,908,000,301x = 112,604,641,757,230,628,864
  5. Step 5: Solve for x
    x = 112,604,641,757,230,628,864/6,908,000,301
  6. Step 6: Final answer
    x = 16,300,613,325.24

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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.