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Finding the Third Proportional to 7,388,076,101 and 11,449,483,829

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Solution

The third proportional to 7,388,076,101 and 11,449,483,829 is: 17,743,547,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388,076,101 : 11,449,483,829 = 11,449,483,829 : x
  2. Step 2: Convert to fraction form
    7,388,076,101/11,449,483,829 = 11,449,483,829/x
  3. Step 3: Cross multiply
    7,388,076,101x = 11,449,483,829 × 11,449,483,829
  4. Step 4: Simplify right side
    7,388,076,101x = 131,090,679,950,532,493,312
  5. Step 5: Solve for x
    x = 131,090,679,950,532,493,312/7,388,076,101
  6. Step 6: Final answer
    x = 17,743,547,597.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.