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Finding the Third Proportional to 713,738,911 and 1,091,122,897.50

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Solution

The third proportional to 713,738,911 and 1,091,122,897.50 is: 1,668,045,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,738,911 : 1,091,122,897.50 = 1,091,122,897.50 : x
  2. Step 2: Convert to fraction form
    713,738,911/1,091,122,897.50 = 1,091,122,897.50/x
  3. Step 3: Cross multiply
    713,738,911x = 1,091,122,897.50 × 1,091,122,897.50
  4. Step 4: Simplify right side
    713,738,911x = 1,190,549,177,448,795,392
  5. Step 5: Solve for x
    x = 1,190,549,177,448,795,392/713,738,911
  6. Step 6: Final answer
    x = 1,668,045,778.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.