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Finding the Third Proportional to 843,301,047,224 and 1,284,710,812,952

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Solution

The third proportional to 843,301,047,224 and 1,284,710,812,952 is: 1,957,168,058,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,301,047,224 : 1,284,710,812,952 = 1,284,710,812,952 : x
  2. Step 2: Convert to fraction form
    843,301,047,224/1,284,710,812,952 = 1,284,710,812,952/x
  3. Step 3: Cross multiply
    843,301,047,224x = 1,284,710,812,952 × 1,284,710,812,952
  4. Step 4: Simplify right side
    843,301,047,224x = 1,650,481,872,915,788,860,489,728
  5. Step 5: Solve for x
    x = 1,650,481,872,915,788,860,489,728/843,301,047,224
  6. Step 6: Final answer
    x = 1,957,168,058,013.08

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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.