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Finding the Third Proportional to 1,705,294,752 and 3,732,038,424

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Solution

The third proportional to 1,705,294,752 and 3,732,038,424 is: 8,167,567,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,294,752 : 3,732,038,424 = 3,732,038,424 : x
  2. Step 2: Convert to fraction form
    1,705,294,752/3,732,038,424 = 3,732,038,424/x
  3. Step 3: Cross multiply
    1,705,294,752x = 3,732,038,424 × 3,732,038,424
  4. Step 4: Simplify right side
    1,705,294,752x = 13,928,110,798,212,403,200
  5. Step 5: Solve for x
    x = 13,928,110,798,212,403,200/1,705,294,752
  6. Step 6: Final answer
    x = 8,167,567,971.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.