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Finding the Third Proportional to 22,388,319 and 47,032,528.50

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Solution

The third proportional to 22,388,319 and 47,032,528.50 is: 98,804,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,388,319 : 47,032,528.50 = 47,032,528.50 : x
  2. Step 2: Convert to fraction form
    22,388,319/47,032,528.50 = 47,032,528.50/x
  3. Step 3: Cross multiply
    22,388,319x = 47,032,528.50 × 47,032,528.50
  4. Step 4: Simplify right side
    22,388,319x = 2,212,058,737,103,312.25
  5. Step 5: Solve for x
    x = 2,212,058,737,103,312.25/22,388,319
  6. Step 6: Final answer
    x = 98,804,145.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.