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Finding the Third Proportional to 42,748,572.94 and 86,686,674.75

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Solution

The third proportional to 42,748,572.94 and 86,686,674.75 is: 175,785,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,748,572.94 : 86,686,674.75 = 86,686,674.75 : x
  2. Step 2: Convert to fraction form
    42,748,572.94/86,686,674.75 = 86,686,674.75/x
  3. Step 3: Cross multiply
    42,748,572.94x = 86,686,674.75 × 86,686,674.75
  4. Step 4: Simplify right side
    42,748,572.94x = 7,514,579,579,212,288
  5. Step 5: Solve for x
    x = 7,514,579,579,212,288/42,748,572.94
  6. Step 6: Final answer
    x = 175,785,507.28

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.