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Finding the Third Proportional to 7,709,432,352 and 10,401,834,282

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Solution

The third proportional to 7,709,432,352 and 10,401,834,282 is: 14,034,516,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709,432,352 : 10,401,834,282 = 10,401,834,282 : x
  2. Step 2: Convert to fraction form
    7,709,432,352/10,401,834,282 = 10,401,834,282/x
  3. Step 3: Cross multiply
    7,709,432,352x = 10,401,834,282 × 10,401,834,282
  4. Step 4: Simplify right side
    7,709,432,352x = 108,198,156,430,190,460,928
  5. Step 5: Solve for x
    x = 108,198,156,430,190,460,928/7,709,432,352
  6. Step 6: Final answer
    x = 14,034,516,614.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.