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Finding the Third Proportional to 380,195,652,567 and 805,719,502,348

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Solution

The third proportional to 380,195,652,567 and 805,719,502,348 is: 1,707,499,578,390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,195,652,567 : 805,719,502,348 = 805,719,502,348 : x
  2. Step 2: Convert to fraction form
    380,195,652,567/805,719,502,348 = 805,719,502,348/x
  3. Step 3: Cross multiply
    380,195,652,567x = 805,719,502,348 × 805,719,502,348
  4. Step 4: Simplify right side
    380,195,652,567x = 649,183,916,463,908,773,167,104
  5. Step 5: Solve for x
    x = 649,183,916,463,908,773,167,104/380,195,652,567
  6. Step 6: Final answer
    x = 1,707,499,578,390.12

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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.