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Finding the Third Proportional to 35,402,055.75 and 54,675,293.63

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Solution

The third proportional to 35,402,055.75 and 54,675,293.63 is: 84,441,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402,055.75 : 54,675,293.63 = 54,675,293.63 : x
  2. Step 2: Convert to fraction form
    35,402,055.75/54,675,293.63 = 54,675,293.63/x
  3. Step 3: Cross multiply
    35,402,055.75x = 54,675,293.63 × 54,675,293.63
  4. Step 4: Simplify right side
    35,402,055.75x = 2,989,387,732,979,965.50
  5. Step 5: Solve for x
    x = 2,989,387,732,979,965.50/35,402,055.75
  6. Step 6: Final answer
    x = 84,441,077.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.