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Finding the Third Proportional to 44,208,500,850 and 96,162,788,457

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Solution

The third proportional to 44,208,500,850 and 96,162,788,457 is: 209,174,292,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,208,500,850 : 96,162,788,457 = 96,162,788,457 : x
  2. Step 2: Convert to fraction form
    44,208,500,850/96,162,788,457 = 96,162,788,457/x
  3. Step 3: Cross multiply
    44,208,500,850x = 96,162,788,457 × 96,162,788,457
  4. Step 4: Simplify right side
    44,208,500,850x = 9,247,281,883,825,732,321,280
  5. Step 5: Solve for x
    x = 9,247,281,883,825,732,321,280/44,208,500,850
  6. Step 6: Final answer
    x = 209,174,292,410.46

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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.