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Finding the Third Proportional to 44,985,910,169 and 93,695,277,663

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Solution

The third proportional to 44,985,910,169 and 93,695,277,663 is: 195,145,658,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,985,910,169 : 93,695,277,663 = 93,695,277,663 : x
  2. Step 2: Convert to fraction form
    44,985,910,169/93,695,277,663 = 93,695,277,663/x
  3. Step 3: Cross multiply
    44,985,910,169x = 93,695,277,663 × 93,695,277,663
  4. Step 4: Simplify right side
    44,985,910,169x = 8,778,805,056,346,666,303,488
  5. Step 5: Solve for x
    x = 8,778,805,056,346,666,303,488/44,985,910,169
  6. Step 6: Final answer
    x = 195,145,658,348.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.