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Finding the Third Proportional to 18,398,685,347,230 and 39,735,013,176,369

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Solution

The third proportional to 18,398,685,347,230 and 39,735,013,176,369 is: 85,814,352,619,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,398,685,347,230 : 39,735,013,176,369 = 39,735,013,176,369 : x
  2. Step 2: Convert to fraction form
    18,398,685,347,230/39,735,013,176,369 = 39,735,013,176,369/x
  3. Step 3: Cross multiply
    18,398,685,347,230x = 39,735,013,176,369 × 39,735,013,176,369
  4. Step 4: Simplify right side
    18,398,685,347,230x = 1,578,871,272,126,218,039,109,615,616
  5. Step 5: Solve for x
    x = 1,578,871,272,126,218,039,109,615,616/18,398,685,347,230
  6. Step 6: Final answer
    x = 85,814,352,619,706.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.