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Finding the Third Proportional to 4,075,126,855,514 and 8,722,712,193,442

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Solution

The third proportional to 4,075,126,855,514 and 8,722,712,193,442 is: 18,670,758,164,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075,126,855,514 : 8,722,712,193,442 = 8,722,712,193,442 : x
  2. Step 2: Convert to fraction form
    4,075,126,855,514/8,722,712,193,442 = 8,722,712,193,442/x
  3. Step 3: Cross multiply
    4,075,126,855,514x = 8,722,712,193,442 × 8,722,712,193,442
  4. Step 4: Simplify right side
    4,075,126,855,514x = 76,085,708,009,621,750,426,894,336
  5. Step 5: Solve for x
    x = 76,085,708,009,621,750,426,894,336/4,075,126,855,514
  6. Step 6: Final answer
    x = 18,670,758,164,662.09

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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.