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Finding the Third Proportional to 3,939,029,047 and 8,506,986,673

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Solution

The third proportional to 3,939,029,047 and 8,506,986,673 is: 18,372,248,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939,029,047 : 8,506,986,673 = 8,506,986,673 : x
  2. Step 2: Convert to fraction form
    3,939,029,047/8,506,986,673 = 8,506,986,673/x
  3. Step 3: Cross multiply
    3,939,029,047x = 8,506,986,673 × 8,506,986,673
  4. Step 4: Simplify right side
    3,939,029,047x = 72,368,822,254,599,610,368
  5. Step 5: Solve for x
    x = 72,368,822,254,599,610,368/3,939,029,047
  6. Step 6: Final answer
    x = 18,372,248,945.39

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Why These Related Problems?

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