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Finding the Third Proportional to 47,975,854.50 and 70,164,495

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Solution

The third proportional to 47,975,854.50 and 70,164,495 is: 102,615,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975,854.50 : 70,164,495 = 70,164,495 : x
  2. Step 2: Convert to fraction form
    47,975,854.50/70,164,495 = 70,164,495/x
  3. Step 3: Cross multiply
    47,975,854.50x = 70,164,495 × 70,164,495
  4. Step 4: Simplify right side
    47,975,854.50x = 4,923,056,358,605,025
  5. Step 5: Solve for x
    x = 4,923,056,358,605,025/47,975,854.50
  6. Step 6: Final answer
    x = 102,615,292.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.