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Finding the Third Proportional to 43,097,570,678 and 100,695,371,540

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Solution

The third proportional to 43,097,570,678 and 100,695,371,540 is: 235,269,823,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,097,570,678 : 100,695,371,540 = 100,695,371,540 : x
  2. Step 2: Convert to fraction form
    43,097,570,678/100,695,371,540 = 100,695,371,540/x
  3. Step 3: Cross multiply
    43,097,570,678x = 100,695,371,540 × 100,695,371,540
  4. Step 4: Simplify right side
    43,097,570,678x = 10,139,557,849,578,642,341,888
  5. Step 5: Solve for x
    x = 10,139,557,849,578,642,341,888/43,097,570,678
  6. Step 6: Final answer
    x = 235,269,823,566.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.