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Finding the Third Proportional to 1,266,076,994 and 1,912,345,464

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Solution

The third proportional to 1,266,076,994 and 1,912,345,464 is: 2,888,501,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,076,994 : 1,912,345,464 = 1,912,345,464 : x
  2. Step 2: Convert to fraction form
    1,266,076,994/1,912,345,464 = 1,912,345,464/x
  3. Step 3: Cross multiply
    1,266,076,994x = 1,912,345,464 × 1,912,345,464
  4. Step 4: Simplify right side
    1,266,076,994x = 3,657,065,173,681,375,232
  5. Step 5: Solve for x
    x = 3,657,065,173,681,375,232/1,266,076,994
  6. Step 6: Final answer
    x = 2,888,501,403.16

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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.