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Finding the Third Proportional to 1,281,680,658 and 2,631,307,032

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Solution

The third proportional to 1,281,680,658 and 2,631,307,032 is: 5,402,107,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,680,658 : 2,631,307,032 = 2,631,307,032 : x
  2. Step 2: Convert to fraction form
    1,281,680,658/2,631,307,032 = 2,631,307,032/x
  3. Step 3: Cross multiply
    1,281,680,658x = 2,631,307,032 × 2,631,307,032
  4. Step 4: Simplify right side
    1,281,680,658x = 6,923,776,696,652,649,472
  5. Step 5: Solve for x
    x = 6,923,776,696,652,649,472/1,281,680,658
  6. Step 6: Final answer
    x = 5,402,107,501.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.