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Finding the Third Proportional to 369,038,039.63 and 752,923,203.19

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Solution

The third proportional to 369,038,039.63 and 752,923,203.19 is: 1,536,137,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,038,039.63 : 752,923,203.19 = 752,923,203.19 : x
  2. Step 2: Convert to fraction form
    369,038,039.63/752,923,203.19 = 752,923,203.19/x
  3. Step 3: Cross multiply
    369,038,039.63x = 752,923,203.19 × 752,923,203.19
  4. Step 4: Simplify right side
    369,038,039.63x = 566,893,349,898,125,440
  5. Step 5: Solve for x
    x = 566,893,349,898,125,440/369,038,039.63
  6. Step 6: Final answer
    x = 1,536,137,983.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.