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Finding the Third Proportional to 1,375,756,950,258 and 2,051,705,018,862

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Solution

The third proportional to 1,375,756,950,258 and 2,051,705,018,862 is: 3,059,765,377,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,756,950,258 : 2,051,705,018,862 = 2,051,705,018,862 : x
  2. Step 2: Convert to fraction form
    1,375,756,950,258/2,051,705,018,862 = 2,051,705,018,862/x
  3. Step 3: Cross multiply
    1,375,756,950,258x = 2,051,705,018,862 × 2,051,705,018,862
  4. Step 4: Simplify right side
    1,375,756,950,258x = 4,209,493,484,423,519,620,038,656
  5. Step 5: Solve for x
    x = 4,209,493,484,423,519,620,038,656/1,375,756,950,258
  6. Step 6: Final answer
    x = 3,059,765,377,622.92

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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.