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Finding the Third Proportional to 65,643,053 and 142,845,130

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Solution

The third proportional to 65,643,053 and 142,845,130 is: 310,843,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,643,053 : 142,845,130 = 142,845,130 : x
  2. Step 2: Convert to fraction form
    65,643,053/142,845,130 = 142,845,130/x
  3. Step 3: Cross multiply
    65,643,053x = 142,845,130 × 142,845,130
  4. Step 4: Simplify right side
    65,643,053x = 20,404,731,164,716,900
  5. Step 5: Solve for x
    x = 20,404,731,164,716,900/65,643,053
  6. Step 6: Final answer
    x = 310,843,725.76

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