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Finding the Third Proportional to 376,762,160,468 and 579,110,453,022

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Solution

The third proportional to 376,762,160,468 and 579,110,453,022 is: 890,134,286,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,762,160,468 : 579,110,453,022 = 579,110,453,022 : x
  2. Step 2: Convert to fraction form
    376,762,160,468/579,110,453,022 = 579,110,453,022/x
  3. Step 3: Cross multiply
    376,762,160,468x = 579,110,453,022 × 579,110,453,022
  4. Step 4: Simplify right side
    376,762,160,468x = 335,368,916,799,346,071,044,096
  5. Step 5: Solve for x
    x = 335,368,916,799,346,071,044,096/376,762,160,468
  6. Step 6: Final answer
    x = 890,134,286,263.68

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Why These Related Problems?

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