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Finding the Third Proportional to 35,062,646,862 and 75,090,016,479

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Solution

The third proportional to 35,062,646,862 and 75,090,016,479 is: 160,812,462,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,062,646,862 : 75,090,016,479 = 75,090,016,479 : x
  2. Step 2: Convert to fraction form
    35,062,646,862/75,090,016,479 = 75,090,016,479/x
  3. Step 3: Cross multiply
    35,062,646,862x = 75,090,016,479 × 75,090,016,479
  4. Step 4: Simplify right side
    35,062,646,862x = 5,638,510,574,816,491,208,704
  5. Step 5: Solve for x
    x = 5,638,510,574,816,491,208,704/35,062,646,862
  6. Step 6: Final answer
    x = 160,812,462,248.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.