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Finding the Third Proportional to 528,179,682,654 and 1,144,064,221,920

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Solution

The third proportional to 528,179,682,654 and 1,144,064,221,920 is: 2,478,101,651,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,179,682,654 : 1,144,064,221,920 = 1,144,064,221,920 : x
  2. Step 2: Convert to fraction form
    528,179,682,654/1,144,064,221,920 = 1,144,064,221,920/x
  3. Step 3: Cross multiply
    528,179,682,654x = 1,144,064,221,920 × 1,144,064,221,920
  4. Step 4: Simplify right side
    528,179,682,654x = 1,308,882,943,877,414,989,594,624
  5. Step 5: Solve for x
    x = 1,308,882,943,877,414,989,594,624/528,179,682,654
  6. Step 6: Final answer
    x = 2,478,101,651,507.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.