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Finding the Third Proportional to 13,009,668,980 and 17,553,097,816

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Solution

The third proportional to 13,009,668,980 and 17,553,097,816 is: 23,683,250,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009,668,980 : 17,553,097,816 = 17,553,097,816 : x
  2. Step 2: Convert to fraction form
    13,009,668,980/17,553,097,816 = 17,553,097,816/x
  3. Step 3: Cross multiply
    13,009,668,980x = 17,553,097,816 × 17,553,097,816
  4. Step 4: Simplify right side
    13,009,668,980x = 308,111,242,938,063,978,496
  5. Step 5: Solve for x
    x = 308,111,242,938,063,978,496/13,009,668,980
  6. Step 6: Final answer
    x = 23,683,250,005.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.