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Finding the Third Proportional to 378,611,047.13 and 581,592,925.13

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Solution

The third proportional to 378,611,047.13 and 581,592,925.13 is: 893,397,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,611,047.13 : 581,592,925.13 = 581,592,925.13 : x
  2. Step 2: Convert to fraction form
    378,611,047.13/581,592,925.13 = 581,592,925.13/x
  3. Step 3: Cross multiply
    378,611,047.13x = 581,592,925.13 × 581,592,925.13
  4. Step 4: Simplify right side
    378,611,047.13x = 338,250,330,555,453,888
  5. Step 5: Solve for x
    x = 338,250,330,555,453,888/378,611,047.13
  6. Step 6: Final answer
    x = 893,397,942.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.