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Finding the Third Proportional to 1,266,076,996 and 1,912,345,466

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Solution

The third proportional to 1,266,076,996 and 1,912,345,466 is: 2,888,501,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,076,996 : 1,912,345,466 = 1,912,345,466 : x
  2. Step 2: Convert to fraction form
    1,266,076,996/1,912,345,466 = 1,912,345,466/x
  3. Step 3: Cross multiply
    1,266,076,996x = 1,912,345,466 × 1,912,345,466
  4. Step 4: Simplify right side
    1,266,076,996x = 3,657,065,181,330,757,120
  5. Step 5: Solve for x
    x = 3,657,065,181,330,757,120/1,266,076,996
  6. Step 6: Final answer
    x = 2,888,501,404.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.