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Finding the Third Proportional to 24,173,643 and 37,485,913.50

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Solution

The third proportional to 24,173,643 and 37,485,913.50 is: 58,129,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,173,643 : 37,485,913.50 = 37,485,913.50 : x
  2. Step 2: Convert to fraction form
    24,173,643/37,485,913.50 = 37,485,913.50/x
  3. Step 3: Cross multiply
    24,173,643x = 37,485,913.50 × 37,485,913.50
  4. Step 4: Simplify right side
    24,173,643x = 1,405,193,710,929,482.25
  5. Step 5: Solve for x
    x = 1,405,193,710,929,482.25/24,173,643
  6. Step 6: Final answer
    x = 58,129,166.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.