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Finding the Third Proportional to 4,596,949,214 and 6,573,645,205

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Solution

The third proportional to 4,596,949,214 and 6,573,645,205 is: 9,400,323,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596,949,214 : 6,573,645,205 = 6,573,645,205 : x
  2. Step 2: Convert to fraction form
    4,596,949,214/6,573,645,205 = 6,573,645,205/x
  3. Step 3: Cross multiply
    4,596,949,214x = 6,573,645,205 × 6,573,645,205
  4. Step 4: Simplify right side
    4,596,949,214x = 43,212,811,281,219,493,888
  5. Step 5: Solve for x
    x = 43,212,811,281,219,493,888/4,596,949,214
  6. Step 6: Final answer
    x = 9,400,323,838.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.