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Finding the Third Proportional to 22,866,788,076 and 49,532,447,628

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Solution

The third proportional to 22,866,788,076 and 49,532,447,628 is: 107,293,746,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866,788,076 : 49,532,447,628 = 49,532,447,628 : x
  2. Step 2: Convert to fraction form
    22,866,788,076/49,532,447,628 = 49,532,447,628/x
  3. Step 3: Cross multiply
    22,866,788,076x = 49,532,447,628 × 49,532,447,628
  4. Step 4: Simplify right side
    22,866,788,076x = 2,453,463,368,020,562,804,736
  5. Step 5: Solve for x
    x = 2,453,463,368,020,562,804,736/22,866,788,076
  6. Step 6: Final answer
    x = 107,293,746,715.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.