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Finding the Third Proportional to 151,935,621,714 and 323,521,805,844

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Solution

The third proportional to 151,935,621,714 and 323,521,805,844 is: 688,886,237,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,935,621,714 : 323,521,805,844 = 323,521,805,844 : x
  2. Step 2: Convert to fraction form
    151,935,621,714/323,521,805,844 = 323,521,805,844/x
  3. Step 3: Cross multiply
    151,935,621,714x = 323,521,805,844 × 323,521,805,844
  4. Step 4: Simplify right side
    151,935,621,714x = 104,666,358,856,562,830,737,408
  5. Step 5: Solve for x
    x = 104,666,358,856,562,830,737,408/151,935,621,714
  6. Step 6: Final answer
    x = 688,886,237,972.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.