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Finding the Third Proportional to 370,596,991.50 and 798,633,897.75

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Solution

The third proportional to 370,596,991.50 and 798,633,897.75 is: 1,721,050,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,596,991.50 : 798,633,897.75 = 798,633,897.75 : x
  2. Step 2: Convert to fraction form
    370,596,991.50/798,633,897.75 = 798,633,897.75/x
  3. Step 3: Cross multiply
    370,596,991.50x = 798,633,897.75 × 798,633,897.75
  4. Step 4: Simplify right side
    370,596,991.50x = 637,816,102,635,357,440
  5. Step 5: Solve for x
    x = 637,816,102,635,357,440/370,596,991.50
  6. Step 6: Final answer
    x = 1,721,050,405.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.