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Finding the Third Proportional to 44,985,912,480 and 93,695,282,208

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Solution

The third proportional to 44,985,912,480 and 93,695,282,208 is: 195,145,667,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,985,912,480 : 93,695,282,208 = 93,695,282,208 : x
  2. Step 2: Convert to fraction form
    44,985,912,480/93,695,282,208 = 93,695,282,208/x
  3. Step 3: Cross multiply
    44,985,912,480x = 93,695,282,208 × 93,695,282,208
  4. Step 4: Simplify right side
    44,985,912,480x = 8,778,805,908,036,761,157,632
  5. Step 5: Solve for x
    x = 8,778,805,908,036,761,157,632/44,985,912,480
  6. Step 6: Final answer
    x = 195,145,667,256.16

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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.