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Finding the Third Proportional to 1,633,403,428 and 2,510,658,150

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Solution

The third proportional to 1,633,403,428 and 2,510,658,150 is: 3,859,061,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,403,428 : 2,510,658,150 = 2,510,658,150 : x
  2. Step 2: Convert to fraction form
    1,633,403,428/2,510,658,150 = 2,510,658,150/x
  3. Step 3: Cross multiply
    1,633,403,428x = 2,510,658,150 × 2,510,658,150
  4. Step 4: Simplify right side
    1,633,403,428x = 6,303,404,346,161,422,336
  5. Step 5: Solve for x
    x = 6,303,404,346,161,422,336/1,633,403,428
  6. Step 6: Final answer
    x = 3,859,061,538.69

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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.