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Finding the Third Proportional to 1,727,158,036 and 2,653,104,894

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Solution

The third proportional to 1,727,158,036 and 2,653,104,894 is: 4,075,461,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,158,036 : 2,653,104,894 = 2,653,104,894 : x
  2. Step 2: Convert to fraction form
    1,727,158,036/2,653,104,894 = 2,653,104,894/x
  3. Step 3: Cross multiply
    1,727,158,036x = 2,653,104,894 × 2,653,104,894
  4. Step 4: Simplify right side
    1,727,158,036x = 7,038,965,578,566,751,232
  5. Step 5: Solve for x
    x = 7,038,965,578,566,751,232/1,727,158,036
  6. Step 6: Final answer
    x = 4,075,461,209.60

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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.