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Finding the Third Proportional to 30,283,416,795 and 66,266,006,875

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Solution

The third proportional to 30,283,416,795 and 66,266,006,875 is: 145,002,913,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283,416,795 : 66,266,006,875 = 66,266,006,875 : x
  2. Step 2: Convert to fraction form
    30,283,416,795/66,266,006,875 = 66,266,006,875/x
  3. Step 3: Cross multiply
    30,283,416,795x = 66,266,006,875 × 66,266,006,875
  4. Step 4: Simplify right side
    30,283,416,795x = 4,391,183,667,157,547,352,064
  5. Step 5: Solve for x
    x = 4,391,183,667,157,547,352,064/30,283,416,795
  6. Step 6: Final answer
    x = 145,002,913,537.90

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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.