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Finding the Third Proportional to 66,350,249,506.50 and 146,224,793,289

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Solution

The third proportional to 66,350,249,506.50 and 146,224,793,289 is: 322,254,857,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,350,249,506.50 : 146,224,793,289 = 146,224,793,289 : x
  2. Step 2: Convert to fraction form
    66,350,249,506.50/146,224,793,289 = 146,224,793,289/x
  3. Step 3: Cross multiply
    66,350,249,506.50x = 146,224,793,289 × 146,224,793,289
  4. Step 4: Simplify right side
    66,350,249,506.50x = 21,381,690,172,410,779,664,384
  5. Step 5: Solve for x
    x = 21,381,690,172,410,779,664,384/66,350,249,506.50
  6. Step 6: Final answer
    x = 322,254,857,087.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.