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Finding the Third Proportional to 562,391,071,728 and 1,232,225,496,080

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Solution

The third proportional to 562,391,071,728 and 1,232,225,496,080 is: 2,699,864,470,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,391,071,728 : 1,232,225,496,080 = 1,232,225,496,080 : x
  2. Step 2: Convert to fraction form
    562,391,071,728/1,232,225,496,080 = 1,232,225,496,080/x
  3. Step 3: Cross multiply
    562,391,071,728x = 1,232,225,496,080 × 1,232,225,496,080
  4. Step 4: Simplify right side
    562,391,071,728x = 1,518,379,673,189,602,008,498,176
  5. Step 5: Solve for x
    x = 1,518,379,673,189,602,008,498,176/562,391,071,728
  6. Step 6: Final answer
    x = 2,699,864,470,686.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.