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Finding the Third Proportional to 45,669,603.75 and 70,824,266.25

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Solution

The third proportional to 45,669,603.75 and 70,824,266.25 is: 109,834,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,669,603.75 : 70,824,266.25 = 70,824,266.25 : x
  2. Step 2: Convert to fraction form
    45,669,603.75/70,824,266.25 = 70,824,266.25/x
  3. Step 3: Cross multiply
    45,669,603.75x = 70,824,266.25 × 70,824,266.25
  4. Step 4: Simplify right side
    45,669,603.75x = 5,016,076,689,850,889
  5. Step 5: Solve for x
    x = 5,016,076,689,850,889/45,669,603.75
  6. Step 6: Final answer
    x = 109,834,031.35

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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.