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Finding the Third Proportional to 7,323,140 and 15,948,160

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Solution

The third proportional to 7,323,140 and 15,948,160 is: 34,731,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323,140 : 15,948,160 = 15,948,160 : x
  2. Step 2: Convert to fraction form
    7,323,140/15,948,160 = 15,948,160/x
  3. Step 3: Cross multiply
    7,323,140x = 15,948,160 × 15,948,160
  4. Step 4: Simplify right side
    7,323,140x = 254,343,807,385,600
  5. Step 5: Solve for x
    x = 254,343,807,385,600/7,323,140
  6. Step 6: Final answer
    x = 34,731,523.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.