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Finding the Third Proportional to 5,273,293,056 and 7,977,808,800

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Solution

The third proportional to 5,273,293,056 and 7,977,808,800 is: 12,069,390,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273,293,056 : 7,977,808,800 = 7,977,808,800 : x
  2. Step 2: Convert to fraction form
    5,273,293,056/7,977,808,800 = 7,977,808,800/x
  3. Step 3: Cross multiply
    5,273,293,056x = 7,977,808,800 × 7,977,808,800
  4. Step 4: Simplify right side
    5,273,293,056x = 63,645,433,249,357,438,976
  5. Step 5: Solve for x
    x = 63,645,433,249,357,438,976/5,273,293,056
  6. Step 6: Final answer
    x = 12,069,390,525.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.