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Finding the Third Proportional to 391,316,973.75 and 852,945,934.50

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Solution

The third proportional to 391,316,973.75 and 852,945,934.50 is: 1,859,149,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,316,973.75 : 852,945,934.50 = 852,945,934.50 : x
  2. Step 2: Convert to fraction form
    391,316,973.75/852,945,934.50 = 852,945,934.50/x
  3. Step 3: Cross multiply
    391,316,973.75x = 852,945,934.50 × 852,945,934.50
  4. Step 4: Simplify right side
    391,316,973.75x = 727,516,767,180,078,336
  5. Step 5: Solve for x
    x = 727,516,767,180,078,336/391,316,973.75
  6. Step 6: Final answer
    x = 1,859,149,528.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.