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Finding the Third Proportional to 6,572,666,376 and 10,180,903,131

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Solution

The third proportional to 6,572,666,376 and 10,180,903,131 is: 15,769,975,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572,666,376 : 10,180,903,131 = 10,180,903,131 : x
  2. Step 2: Convert to fraction form
    6,572,666,376/10,180,903,131 = 10,180,903,131/x
  3. Step 3: Cross multiply
    6,572,666,376x = 10,180,903,131 × 10,180,903,131
  4. Step 4: Simplify right side
    6,572,666,376x = 103,650,788,562,805,604,352
  5. Step 5: Solve for x
    x = 103,650,788,562,805,604,352/6,572,666,376
  6. Step 6: Final answer
    x = 15,769,975,628.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.