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Finding the Third Proportional to 376,762,160,466 and 579,110,453,019

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Solution

The third proportional to 376,762,160,466 and 579,110,453,019 is: 890,134,286,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,762,160,466 : 579,110,453,019 = 579,110,453,019 : x
  2. Step 2: Convert to fraction form
    376,762,160,466/579,110,453,019 = 579,110,453,019/x
  3. Step 3: Cross multiply
    376,762,160,466x = 579,110,453,019 × 579,110,453,019
  4. Step 4: Simplify right side
    376,762,160,466x = 335,368,916,795,871,375,392,768
  5. Step 5: Solve for x
    x = 335,368,916,795,871,375,392,768/376,762,160,466
  6. Step 6: Final answer
    x = 890,134,286,259.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.