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Finding the Third Proportional to 46,977,140 and 71,869,763

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Solution

The third proportional to 46,977,140 and 71,869,763 is: 109,952,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977,140 : 71,869,763 = 71,869,763 : x
  2. Step 2: Convert to fraction form
    46,977,140/71,869,763 = 71,869,763/x
  3. Step 3: Cross multiply
    46,977,140x = 71,869,763 × 71,869,763
  4. Step 4: Simplify right side
    46,977,140x = 5,165,262,833,676,169
  5. Step 5: Solve for x
    x = 5,165,262,833,676,169/46,977,140
  6. Step 6: Final answer
    x = 109,952,688.34

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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.