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Finding the Third Proportional to 1,095,216,663,996 and 2,341,157,448,888

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Solution

The third proportional to 1,095,216,663,996 and 2,341,157,448,888 is: 5,004,505,848,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,216,663,996 : 2,341,157,448,888 = 2,341,157,448,888 : x
  2. Step 2: Convert to fraction form
    1,095,216,663,996/2,341,157,448,888 = 2,341,157,448,888/x
  3. Step 3: Cross multiply
    1,095,216,663,996x = 2,341,157,448,888 × 2,341,157,448,888
  4. Step 4: Simplify right side
    1,095,216,663,996x = 5,481,018,200,483,768,209,244,160
  5. Step 5: Solve for x
    x = 5,481,018,200,483,768,209,244,160/1,095,216,663,996
  6. Step 6: Final answer
    x = 5,004,505,848,628.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.