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Finding the Third Proportional to 1,316,000,770 and 2,044,284,220

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Solution

The third proportional to 1,316,000,770 and 2,044,284,220 is: 3,175,604,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,000,770 : 2,044,284,220 = 2,044,284,220 : x
  2. Step 2: Convert to fraction form
    1,316,000,770/2,044,284,220 = 2,044,284,220/x
  3. Step 3: Cross multiply
    1,316,000,770x = 2,044,284,220 × 2,044,284,220
  4. Step 4: Simplify right side
    1,316,000,770x = 4,179,097,972,141,008,384
  5. Step 5: Solve for x
    x = 4,179,097,972,141,008,384/1,316,000,770
  6. Step 6: Final answer
    x = 3,175,604,503.74

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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.