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Finding the Third Proportional to 1,849,914,547 and 2,723,774,752

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Solution

The third proportional to 1,849,914,547 and 2,723,774,752 is: 4,010,427,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,914,547 : 2,723,774,752 = 2,723,774,752 : x
  2. Step 2: Convert to fraction form
    1,849,914,547/2,723,774,752 = 2,723,774,752/x
  3. Step 3: Cross multiply
    1,849,914,547x = 2,723,774,752 × 2,723,774,752
  4. Step 4: Simplify right side
    1,849,914,547x = 7,418,948,899,632,661,504
  5. Step 5: Solve for x
    x = 7,418,948,899,632,661,504/1,849,914,547
  6. Step 6: Final answer
    x = 4,010,427,893.37

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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.