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Finding the Third Proportional to 1,570,454,211.50 and 3,402,636,631

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Solution

The third proportional to 1,570,454,211.50 and 3,402,636,631 is: 7,372,348,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,454,211.50 : 3,402,636,631 = 3,402,636,631 : x
  2. Step 2: Convert to fraction form
    1,570,454,211.50/3,402,636,631 = 3,402,636,631/x
  3. Step 3: Cross multiply
    1,570,454,211.50x = 3,402,636,631 × 3,402,636,631
  4. Step 4: Simplify right side
    1,570,454,211.50x = 11,577,936,042,623,029,248
  5. Step 5: Solve for x
    x = 11,577,936,042,623,029,248/1,570,454,211.50
  6. Step 6: Final answer
    x = 7,372,348,686.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.