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Finding the Third Proportional to 843,301,047,226 and 1,284,710,812,955

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Solution

The third proportional to 843,301,047,226 and 1,284,710,812,955 is: 1,957,168,058,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,301,047,226 : 1,284,710,812,955 = 1,284,710,812,955 : x
  2. Step 2: Convert to fraction form
    843,301,047,226/1,284,710,812,955 = 1,284,710,812,955/x
  3. Step 3: Cross multiply
    843,301,047,226x = 1,284,710,812,955 × 1,284,710,812,955
  4. Step 4: Simplify right side
    843,301,047,226x = 1,650,481,872,923,496,984,608,768
  5. Step 5: Solve for x
    x = 1,650,481,872,923,496,984,608,768/843,301,047,226
  6. Step 6: Final answer
    x = 1,957,168,058,017.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.