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Finding the Third Proportional to 46,347,416 and 70,117,644

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Solution

The third proportional to 46,347,416 and 70,117,644 is: 106,078,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,347,416 : 70,117,644 = 70,117,644 : x
  2. Step 2: Convert to fraction form
    46,347,416/70,117,644 = 70,117,644/x
  3. Step 3: Cross multiply
    46,347,416x = 70,117,644 × 70,117,644
  4. Step 4: Simplify right side
    46,347,416x = 4,916,484,000,110,736
  5. Step 5: Solve for x
    x = 4,916,484,000,110,736/46,347,416
  6. Step 6: Final answer
    x = 106,078,923.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.