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Finding the Third Proportional to 35,402,049 and 54,675,283.50

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Solution

The third proportional to 35,402,049 and 54,675,283.50 is: 84,441,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402,049 : 54,675,283.50 = 54,675,283.50 : x
  2. Step 2: Convert to fraction form
    35,402,049/54,675,283.50 = 54,675,283.50/x
  3. Step 3: Cross multiply
    35,402,049x = 54,675,283.50 × 54,675,283.50
  4. Step 4: Simplify right side
    35,402,049x = 2,989,386,625,805,372
  5. Step 5: Solve for x
    x = 2,989,386,625,805,372/35,402,049
  6. Step 6: Final answer
    x = 84,441,062.32

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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.