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Finding the Third Proportional to 46,045,160 and 66,521,820

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Solution

The third proportional to 46,045,160 and 66,521,820 is: 96,104,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,045,160 : 66,521,820 = 66,521,820 : x
  2. Step 2: Convert to fraction form
    46,045,160/66,521,820 = 66,521,820/x
  3. Step 3: Cross multiply
    46,045,160x = 66,521,820 × 66,521,820
  4. Step 4: Simplify right side
    46,045,160x = 4,425,152,536,112,400
  5. Step 5: Solve for x
    x = 4,425,152,536,112,400/46,045,160
  6. Step 6: Final answer
    x = 96,104,618.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.