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Finding the Third Proportional to 757,908,770 and 1,658,683,726

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Solution

The third proportional to 757,908,770 and 1,658,683,726 is: 3,630,030,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,908,770 : 1,658,683,726 = 1,658,683,726 : x
  2. Step 2: Convert to fraction form
    757,908,770/1,658,683,726 = 1,658,683,726/x
  3. Step 3: Cross multiply
    757,908,770x = 1,658,683,726 × 1,658,683,726
  4. Step 4: Simplify right side
    757,908,770x = 2,751,231,702,897,243,136
  5. Step 5: Solve for x
    x = 2,751,231,702,897,243,136/757,908,770
  6. Step 6: Final answer
    x = 3,630,030,172.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.