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Finding the Third Proportional to 35,368,045.50 and 56,240,653.50

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Solution

The third proportional to 35,368,045.50 and 56,240,653.50 is: 89,431,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,368,045.50 : 56,240,653.50 = 56,240,653.50 : x
  2. Step 2: Convert to fraction form
    35,368,045.50/56,240,653.50 = 56,240,653.50/x
  3. Step 3: Cross multiply
    35,368,045.50x = 56,240,653.50 × 56,240,653.50
  4. Step 4: Simplify right side
    35,368,045.50x = 3,163,011,106,107,062
  5. Step 5: Solve for x
    x = 3,163,011,106,107,062/35,368,045.50
  6. Step 6: Final answer
    x = 89,431,323.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.