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Finding the Third Proportional to 66,024,446,258 and 145,019,572,852

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Solution

The third proportional to 66,024,446,258 and 145,019,572,852 is: 318,528,631,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,024,446,258 : 145,019,572,852 = 145,019,572,852 : x
  2. Step 2: Convert to fraction form
    66,024,446,258/145,019,572,852 = 145,019,572,852/x
  3. Step 3: Cross multiply
    66,024,446,258x = 145,019,572,852 × 145,019,572,852
  4. Step 4: Simplify right side
    66,024,446,258x = 21,030,676,510,176,536,690,688
  5. Step 5: Solve for x
    x = 21,030,676,510,176,536,690,688/66,024,446,258
  6. Step 6: Final answer
    x = 318,528,631,470.78

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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.