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Finding the Third Proportional to 564,848,032.50 and 1,319,012,710.03

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Solution

The third proportional to 564,848,032.50 and 1,319,012,710.03 is: 3,080,110,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,848,032.50 : 1,319,012,710.03 = 1,319,012,710.03 : x
  2. Step 2: Convert to fraction form
    564,848,032.50/1,319,012,710.03 = 1,319,012,710.03/x
  3. Step 3: Cross multiply
    564,848,032.50x = 1,319,012,710.03 × 1,319,012,710.03
  4. Step 4: Simplify right side
    564,848,032.50x = 1,739,794,529,223,850,240
  5. Step 5: Solve for x
    x = 1,739,794,529,223,850,240/564,848,032.50
  6. Step 6: Final answer
    x = 3,080,110,807.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.