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Finding the Third Proportional to 66,609,343,248 and 145,424,698,506

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Solution

The third proportional to 66,609,343,248 and 145,424,698,506 is: 317,498,145,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,609,343,248 : 145,424,698,506 = 145,424,698,506 : x
  2. Step 2: Convert to fraction form
    66,609,343,248/145,424,698,506 = 145,424,698,506/x
  3. Step 3: Cross multiply
    66,609,343,248x = 145,424,698,506 × 145,424,698,506
  4. Step 4: Simplify right side
    66,609,343,248x = 21,148,342,935,560,996,782,080
  5. Step 5: Solve for x
    x = 21,148,342,935,560,996,782,080/66,609,343,248
  6. Step 6: Final answer
    x = 317,498,145,219.98

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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.