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Finding the Third Proportional to 1,164,939,084 and 2,502,773,640

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Solution

The third proportional to 1,164,939,084 and 2,502,773,640 is: 5,376,998,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,939,084 : 2,502,773,640 = 2,502,773,640 : x
  2. Step 2: Convert to fraction form
    1,164,939,084/2,502,773,640 = 2,502,773,640/x
  3. Step 3: Cross multiply
    1,164,939,084x = 2,502,773,640 × 2,502,773,640
  4. Step 4: Simplify right side
    1,164,939,084x = 6,263,875,893,078,849,536
  5. Step 5: Solve for x
    x = 6,263,875,893,078,849,536/1,164,939,084
  6. Step 6: Final answer
    x = 5,376,998,659.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.