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Finding the Third Proportional to 46,835,389.69 and 68,655,443.06

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Solution

The third proportional to 46,835,389.69 and 68,655,443.06 is: 100,641,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,835,389.69 : 68,655,443.06 = 68,655,443.06 : x
  2. Step 2: Convert to fraction form
    46,835,389.69/68,655,443.06 = 68,655,443.06/x
  3. Step 3: Cross multiply
    46,835,389.69x = 68,655,443.06 × 68,655,443.06
  4. Step 4: Simplify right side
    46,835,389.69x = 4,713,569,862,108,179
  5. Step 5: Solve for x
    x = 4,713,569,862,108,179/46,835,389.69
  6. Step 6: Final answer
    x = 100,641,200.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.