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Finding the Third Proportional to 380,195,652,638 and 805,719,502,486

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Solution

The third proportional to 380,195,652,638 and 805,719,502,486 is: 1,707,499,578,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,195,652,638 : 805,719,502,486 = 805,719,502,486 : x
  2. Step 2: Convert to fraction form
    380,195,652,638/805,719,502,486 = 805,719,502,486/x
  3. Step 3: Cross multiply
    380,195,652,638x = 805,719,502,486 × 805,719,502,486
  4. Step 4: Simplify right side
    380,195,652,638x = 649,183,916,686,287,415,803,904
  5. Step 5: Solve for x
    x = 649,183,916,686,287,415,803,904/380,195,652,638
  6. Step 6: Final answer
    x = 1,707,499,578,656.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.