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Finding the Third Proportional to 404,893,166,137.50 and 870,721,357,335

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Solution

The third proportional to 404,893,166,137.50 and 870,721,357,335 is: 1,872,483,275,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,893,166,137.50 : 870,721,357,335 = 870,721,357,335 : x
  2. Step 2: Convert to fraction form
    404,893,166,137.50/870,721,357,335 = 870,721,357,335/x
  3. Step 3: Cross multiply
    404,893,166,137.50x = 870,721,357,335 × 870,721,357,335
  4. Step 4: Simplify right side
    404,893,166,137.50x = 758,155,682,119,304,794,341,376
  5. Step 5: Solve for x
    x = 758,155,682,119,304,794,341,376/404,893,166,137.50
  6. Step 6: Final answer
    x = 1,872,483,275,901.57

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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.