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Finding the Third Proportional to 46,977,128 and 71,869,746

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Solution

The third proportional to 46,977,128 and 71,869,746 is: 109,952,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977,128 : 71,869,746 = 71,869,746 : x
  2. Step 2: Convert to fraction form
    46,977,128/71,869,746 = 71,869,746/x
  3. Step 3: Cross multiply
    46,977,128x = 71,869,746 × 71,869,746
  4. Step 4: Simplify right side
    46,977,128x = 5,165,260,390,104,516
  5. Step 5: Solve for x
    x = 5,165,260,390,104,516/46,977,128
  6. Step 6: Final answer
    x = 109,952,664.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.