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Finding the Third Proportional to 38,323,878,762 and 83,872,387,890

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Solution

The third proportional to 38,323,878,762 and 83,872,387,890 is: 183,555,988,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,323,878,762 : 83,872,387,890 = 83,872,387,890 : x
  2. Step 2: Convert to fraction form
    38,323,878,762/83,872,387,890 = 83,872,387,890/x
  3. Step 3: Cross multiply
    38,323,878,762x = 83,872,387,890 × 83,872,387,890
  4. Step 4: Simplify right side
    38,323,878,762x = 7,034,577,450,370,618,884,096
  5. Step 5: Solve for x
    x = 7,034,577,450,370,618,884,096/38,323,878,762
  6. Step 6: Final answer
    x = 183,555,988,527.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.