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Finding the Third Proportional to 954,704,056.50 and 1,426,176,743.63

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Solution

The third proportional to 954,704,056.50 and 1,426,176,743.63 is: 2,130,482,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,704,056.50 : 1,426,176,743.63 = 1,426,176,743.63 : x
  2. Step 2: Convert to fraction form
    954,704,056.50/1,426,176,743.63 = 1,426,176,743.63/x
  3. Step 3: Cross multiply
    954,704,056.50x = 1,426,176,743.63 × 1,426,176,743.63
  4. Step 4: Simplify right side
    954,704,056.50x = 2,033,980,104,056,808,960
  5. Step 5: Solve for x
    x = 2,033,980,104,056,808,960/954,704,056.50
  6. Step 6: Final answer
    x = 2,130,482,310.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.