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Finding the Third Proportional to 13,009,668,914 and 17,553,097,731

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Solution

The third proportional to 13,009,668,914 and 17,553,097,731 is: 23,683,249,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009,668,914 : 17,553,097,731 = 17,553,097,731 : x
  2. Step 2: Convert to fraction form
    13,009,668,914/17,553,097,731 = 17,553,097,731/x
  3. Step 3: Cross multiply
    13,009,668,914x = 17,553,097,731 × 17,553,097,731
  4. Step 4: Simplify right side
    13,009,668,914x = 308,111,239,954,037,342,208
  5. Step 5: Solve for x
    x = 308,111,239,954,037,342,208/13,009,668,914
  6. Step 6: Final answer
    x = 23,683,249,895.97

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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.