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Finding the Third Proportional to 1,375,756,950,267 and 2,051,705,018,875

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Solution

The third proportional to 1,375,756,950,267 and 2,051,705,018,875 is: 3,059,765,377,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,756,950,267 : 2,051,705,018,875 = 2,051,705,018,875 : x
  2. Step 2: Convert to fraction form
    1,375,756,950,267/2,051,705,018,875 = 2,051,705,018,875/x
  3. Step 3: Cross multiply
    1,375,756,950,267x = 2,051,705,018,875 × 2,051,705,018,875
  4. Step 4: Simplify right side
    1,375,756,950,267x = 4,209,493,484,476,864,187,596,800
  5. Step 5: Solve for x
    x = 4,209,493,484,476,864,187,596,800/1,375,756,950,267
  6. Step 6: Final answer
    x = 3,059,765,377,641.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.