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Finding the Third Proportional to 653,035,268.81 and 1,420,855,642.69

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Solution

The third proportional to 653,035,268.81 and 1,420,855,642.69 is: 3,091,457,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,035,268.81 : 1,420,855,642.69 = 1,420,855,642.69 : x
  2. Step 2: Convert to fraction form
    653,035,268.81/1,420,855,642.69 = 1,420,855,642.69/x
  3. Step 3: Cross multiply
    653,035,268.81x = 1,420,855,642.69 × 1,420,855,642.69
  4. Step 4: Simplify right side
    653,035,268.81x = 2,018,830,757,356,908,800
  5. Step 5: Solve for x
    x = 2,018,830,757,356,908,800/653,035,268.81
  6. Step 6: Final answer
    x = 3,091,457,466.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.