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Finding the Third Proportional to 430,469,674,632.80 and 944,280,495,641.80

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Solution

The third proportional to 430,469,674,632.80 and 944,280,495,641.80 is: 2,071,378,559,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,469,674,632.80 : 944,280,495,641.80 = 944,280,495,641.80 : x
  2. Step 2: Convert to fraction form
    430,469,674,632.80/944,280,495,641.80 = 944,280,495,641.80/x
  3. Step 3: Cross multiply
    430,469,674,632.80x = 944,280,495,641.80 × 944,280,495,641.80
  4. Step 4: Simplify right side
    430,469,674,632.80x = 891,665,654,449,523,545,604,096
  5. Step 5: Solve for x
    x = 891,665,654,449,523,545,604,096/430,469,674,632.80
  6. Step 6: Final answer
    x = 2,071,378,559,268.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.