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Finding the Third Proportional to 1,877,013,084 and 2,758,057,488

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Solution

The third proportional to 1,877,013,084 and 2,758,057,488 is: 4,052,652,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,013,084 : 2,758,057,488 = 2,758,057,488 : x
  2. Step 2: Convert to fraction form
    1,877,013,084/2,758,057,488 = 2,758,057,488/x
  3. Step 3: Cross multiply
    1,877,013,084x = 2,758,057,488 × 2,758,057,488
  4. Step 4: Simplify right side
    1,877,013,084x = 7,606,881,107,112,869,888
  5. Step 5: Solve for x
    x = 7,606,881,107,112,869,888/1,877,013,084
  6. Step 6: Final answer
    x = 4,052,652,148.22

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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.