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Finding the Third Proportional to 1,904,210,256 and 2,942,490,312

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Solution

The third proportional to 1,904,210,256 and 2,942,490,312 is: 4,546,897,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904,210,256 : 2,942,490,312 = 2,942,490,312 : x
  2. Step 2: Convert to fraction form
    1,904,210,256/2,942,490,312 = 2,942,490,312/x
  3. Step 3: Cross multiply
    1,904,210,256x = 2,942,490,312 × 2,942,490,312
  4. Step 4: Simplify right side
    1,904,210,256x = 8,658,249,236,213,857,280
  5. Step 5: Solve for x
    x = 8,658,249,236,213,857,280/1,904,210,256
  6. Step 6: Final answer
    x = 4,546,897,701.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.