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Finding the Third Proportional to 786,978,280,596.45 and 1,209,105,149,769.40

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Solution

The third proportional to 786,978,280,596.45 and 1,209,105,149,769.40 is: 1,857,656,429,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,978,280,596.45 : 1,209,105,149,769.40 = 1,209,105,149,769.40 : x
  2. Step 2: Convert to fraction form
    786,978,280,596.45/1,209,105,149,769.40 = 1,209,105,149,769.40/x
  3. Step 3: Cross multiply
    786,978,280,596.45x = 1,209,105,149,769.40 × 1,209,105,149,769.40
  4. Step 4: Simplify right side
    786,978,280,596.45x = 1,461,935,263,198,883,069,558,784
  5. Step 5: Solve for x
    x = 1,461,935,263,198,883,069,558,784/786,978,280,596.45
  6. Step 6: Final answer
    x = 1,857,656,429,972.74

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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.