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Finding the Third Proportional to 767,675,748 and 1,671,656,136

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Solution

The third proportional to 767,675,748 and 1,671,656,136 is: 3,640,123,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,675,748 : 1,671,656,136 = 1,671,656,136 : x
  2. Step 2: Convert to fraction form
    767,675,748/1,671,656,136 = 1,671,656,136/x
  3. Step 3: Cross multiply
    767,675,748x = 1,671,656,136 × 1,671,656,136
  4. Step 4: Simplify right side
    767,675,748x = 2,794,434,237,026,450,432
  5. Step 5: Solve for x
    x = 2,794,434,237,026,450,432/767,675,748
  6. Step 6: Final answer
    x = 3,640,123,117.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.