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Finding the Third Proportional to 6,057,776,259 and 9,305,486,041.50

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Solution

The third proportional to 6,057,776,259 and 9,305,486,041.50 is: 14,294,365,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057,776,259 : 9,305,486,041.50 = 9,305,486,041.50 : x
  2. Step 2: Convert to fraction form
    6,057,776,259/9,305,486,041.50 = 9,305,486,041.50/x
  3. Step 3: Cross multiply
    6,057,776,259x = 9,305,486,041.50 × 9,305,486,041.50
  4. Step 4: Simplify right side
    6,057,776,259x = 86,592,070,468,551,344,128
  5. Step 5: Solve for x
    x = 86,592,070,468,551,344,128/6,057,776,259
  6. Step 6: Final answer
    x = 14,294,365,913.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.