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Finding the Third Proportional to 66,609,343,233 and 145,424,698,479

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Solution

The third proportional to 66,609,343,233 and 145,424,698,479 is: 317,498,145,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,609,343,233 : 145,424,698,479 = 145,424,698,479 : x
  2. Step 2: Convert to fraction form
    66,609,343,233/145,424,698,479 = 145,424,698,479/x
  3. Step 3: Cross multiply
    66,609,343,233x = 145,424,698,479 × 145,424,698,479
  4. Step 4: Simplify right side
    66,609,343,233x = 21,148,342,927,708,064,317,440
  5. Step 5: Solve for x
    x = 21,148,342,927,708,064,317,440/66,609,343,233
  6. Step 6: Final answer
    x = 317,498,145,173.58

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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.