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Finding the Third Proportional to 1,901,924,784 and 4,141,497,264

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Solution

The third proportional to 1,901,924,784 and 4,141,497,264 is: 9,018,232,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,924,784 : 4,141,497,264 = 4,141,497,264 : x
  2. Step 2: Convert to fraction form
    1,901,924,784/4,141,497,264 = 4,141,497,264/x
  3. Step 3: Cross multiply
    1,901,924,784x = 4,141,497,264 × 4,141,497,264
  4. Step 4: Simplify right side
    1,901,924,784x = 17,151,999,587,719,485,440
  5. Step 5: Solve for x
    x = 17,151,999,587,719,485,440/1,901,924,784
  6. Step 6: Final answer
    x = 9,018,232,336.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.