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Finding the Third Proportional to 347,692,225.50 and 745,857,643.50

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Solution

The third proportional to 347,692,225.50 and 745,857,643.50 is: 1,599,988,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,692,225.50 : 745,857,643.50 = 745,857,643.50 : x
  2. Step 2: Convert to fraction form
    347,692,225.50/745,857,643.50 = 745,857,643.50/x
  3. Step 3: Cross multiply
    347,692,225.50x = 745,857,643.50 × 745,857,643.50
  4. Step 4: Simplify right side
    347,692,225.50x = 556,303,624,367,373,120
  5. Step 5: Solve for x
    x = 556,303,624,367,373,120/347,692,225.50
  6. Step 6: Final answer
    x = 1,599,988,678.40

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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.