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Finding the Third Proportional to 870,304,021.59 and 1,878,432,600.94

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Solution

The third proportional to 870,304,021.59 and 1,878,432,600.94 is: 4,054,340,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,304,021.59 : 1,878,432,600.94 = 1,878,432,600.94 : x
  2. Step 2: Convert to fraction form
    870,304,021.59/1,878,432,600.94 = 1,878,432,600.94/x
  3. Step 3: Cross multiply
    870,304,021.59x = 1,878,432,600.94 × 1,878,432,600.94
  4. Step 4: Simplify right side
    870,304,021.59x = 3,528,509,036,264,821,248
  5. Step 5: Solve for x
    x = 3,528,509,036,264,821,248/870,304,021.59
  6. Step 6: Final answer
    x = 4,054,340,723.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.