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Finding the Third Proportional to 5,306,154,914 and 11,357,698,474

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Solution

The third proportional to 5,306,154,914 and 11,357,698,474 is: 24,310,883,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,154,914 : 11,357,698,474 = 11,357,698,474 : x
  2. Step 2: Convert to fraction form
    5,306,154,914/11,357,698,474 = 11,357,698,474/x
  3. Step 3: Cross multiply
    5,306,154,914x = 11,357,698,474 × 11,357,698,474
  4. Step 4: Simplify right side
    5,306,154,914x = 128,997,314,626,301,935,616
  5. Step 5: Solve for x
    x = 128,997,314,626,301,935,616/5,306,154,914
  6. Step 6: Final answer
    x = 24,310,883,627.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.