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Finding the Third Proportional to 1,223,266,045,248 and 1,700,853,656,832

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Solution

The third proportional to 1,223,266,045,248 and 1,700,853,656,832 is: 2,364,901,055,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,266,045,248 : 1,700,853,656,832 = 1,700,853,656,832 : x
  2. Step 2: Convert to fraction form
    1,223,266,045,248/1,700,853,656,832 = 1,700,853,656,832/x
  3. Step 3: Cross multiply
    1,223,266,045,248x = 1,700,853,656,832 × 1,700,853,656,832
  4. Step 4: Simplify right side
    1,223,266,045,248x = 2,892,903,161,958,786,855,337,984
  5. Step 5: Solve for x
    x = 2,892,903,161,958,786,855,337,984/1,223,266,045,248
  6. Step 6: Final answer
    x = 2,364,901,055,822.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.