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Finding the Third Proportional to 21,680,949 and 46,934,312

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Solution

The third proportional to 21,680,949 and 46,934,312 is: 101,602,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680,949 : 46,934,312 = 46,934,312 : x
  2. Step 2: Convert to fraction form
    21,680,949/46,934,312 = 46,934,312/x
  3. Step 3: Cross multiply
    21,680,949x = 46,934,312 × 46,934,312
  4. Step 4: Simplify right side
    21,680,949x = 2,202,829,642,913,344
  5. Step 5: Solve for x
    x = 2,202,829,642,913,344/21,680,949
  6. Step 6: Final answer
    x = 101,602,085.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.