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Finding the Third Proportional to 1,069,832,097 and 2,329,590,996

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Solution

The third proportional to 1,069,832,097 and 2,329,590,996 is: 5,072,753,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,832,097 : 2,329,590,996 = 2,329,590,996 : x
  2. Step 2: Convert to fraction form
    1,069,832,097/2,329,590,996 = 2,329,590,996/x
  3. Step 3: Cross multiply
    1,069,832,097x = 2,329,590,996 × 2,329,590,996
  4. Step 4: Simplify right side
    1,069,832,097x = 5,426,994,208,644,272,128
  5. Step 5: Solve for x
    x = 5,426,994,208,644,272,128/1,069,832,097
  6. Step 6: Final answer
    x = 5,072,753,214.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.