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Finding the Third Proportional to 614,013,924 and 1,335,609,096

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Solution

The third proportional to 614,013,924 and 1,335,609,096 is: 2,905,229,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,013,924 : 1,335,609,096 = 1,335,609,096 : x
  2. Step 2: Convert to fraction form
    614,013,924/1,335,609,096 = 1,335,609,096/x
  3. Step 3: Cross multiply
    614,013,924x = 1,335,609,096 × 1,335,609,096
  4. Step 4: Simplify right side
    614,013,924x = 1,783,851,657,317,937,152
  5. Step 5: Solve for x
    x = 1,783,851,657,317,937,152/614,013,924
  6. Step 6: Final answer
    x = 2,905,229,975.40

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