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Finding the Third Proportional to 69,028,530,534 and 148,541,329,116

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Solution

The third proportional to 69,028,530,534 and 148,541,329,116 is: 319,643,577,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,028,530,534 : 148,541,329,116 = 148,541,329,116 : x
  2. Step 2: Convert to fraction form
    69,028,530,534/148,541,329,116 = 148,541,329,116/x
  3. Step 3: Cross multiply
    69,028,530,534x = 148,541,329,116 × 148,541,329,116
  4. Step 4: Simplify right side
    69,028,530,534x = 22,064,526,455,547,830,992,896
  5. Step 5: Solve for x
    x = 22,064,526,455,547,830,992,896/69,028,530,534
  6. Step 6: Final answer
    x = 319,643,577,588.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.