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Finding the Third Proportional to 730,781,826 and 1,500,304,615.50

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Solution

The third proportional to 730,781,826 and 1,500,304,615.50 is: 3,080,144,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,781,826 : 1,500,304,615.50 = 1,500,304,615.50 : x
  2. Step 2: Convert to fraction form
    730,781,826/1,500,304,615.50 = 1,500,304,615.50/x
  3. Step 3: Cross multiply
    730,781,826x = 1,500,304,615.50 × 1,500,304,615.50
  4. Step 4: Simplify right side
    730,781,826x = 2,250,913,939,290,602,752
  5. Step 5: Solve for x
    x = 2,250,913,939,290,602,752/730,781,826
  6. Step 6: Final answer
    x = 3,080,144,934.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.