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Finding the Third Proportional to 46,316,566 and 68,127,657

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Solution

The third proportional to 46,316,566 and 68,127,657 is: 100,209,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,316,566 : 68,127,657 = 68,127,657 : x
  2. Step 2: Convert to fraction form
    46,316,566/68,127,657 = 68,127,657/x
  3. Step 3: Cross multiply
    46,316,566x = 68,127,657 × 68,127,657
  4. Step 4: Simplify right side
    46,316,566x = 4,641,377,648,309,649
  5. Step 5: Solve for x
    x = 4,641,377,648,309,649/46,316,566
  6. Step 6: Final answer
    x = 100,209,882.75

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Why These Related Problems?

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