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Finding the Third Proportional to 2,235,531,088,000 and 4,862,750,354,624

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Solution

The third proportional to 2,235,531,088,000 and 4,862,750,354,624 is: 10,577,504,888,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,531,088,000 : 4,862,750,354,624 = 4,862,750,354,624 : x
  2. Step 2: Convert to fraction form
    2,235,531,088,000/4,862,750,354,624 = 4,862,750,354,624/x
  3. Step 3: Cross multiply
    2,235,531,088,000x = 4,862,750,354,624 × 4,862,750,354,624
  4. Step 4: Simplify right side
    2,235,531,088,000x = 23,646,341,011,395,835,804,516,352
  5. Step 5: Solve for x
    x = 23,646,341,011,395,835,804,516,352/2,235,531,088,000
  6. Step 6: Final answer
    x = 10,577,504,888,357.80

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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.