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Finding the Third Proportional to 607,309,787,289 and 1,264,886,248,464

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Solution

The third proportional to 607,309,787,289 and 1,264,886,248,464 is: 2,634,466,387,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,309,787,289 : 1,264,886,248,464 = 1,264,886,248,464 : x
  2. Step 2: Convert to fraction form
    607,309,787,289/1,264,886,248,464 = 1,264,886,248,464/x
  3. Step 3: Cross multiply
    607,309,787,289x = 1,264,886,248,464 × 1,264,886,248,464
  4. Step 4: Simplify right side
    607,309,787,289x = 1,599,937,221,553,331,814,531,072
  5. Step 5: Solve for x
    x = 1,599,937,221,553,331,814,531,072/607,309,787,289
  6. Step 6: Final answer
    x = 2,634,466,387,731.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.