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Finding the Third Proportional to 997,760,760,392 and 2,048,415,725,328

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Solution

The third proportional to 997,760,760,392 and 2,048,415,725,328 is: 4,205,423,935,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,760,760,392 : 2,048,415,725,328 = 2,048,415,725,328 : x
  2. Step 2: Convert to fraction form
    997,760,760,392/2,048,415,725,328 = 2,048,415,725,328/x
  3. Step 3: Cross multiply
    997,760,760,392x = 2,048,415,725,328 × 2,048,415,725,328
  4. Step 4: Simplify right side
    997,760,760,392x = 4,196,006,983,771,036,403,630,080
  5. Step 5: Solve for x
    x = 4,196,006,983,771,036,403,630,080/997,760,760,392
  6. Step 6: Final answer
    x = 4,205,423,935,616.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.