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Finding the Third Proportional to 767,307,870 and 1,663,655,119

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Solution

The third proportional to 767,307,870 and 1,663,655,119 is: 3,607,089,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,307,870 : 1,663,655,119 = 1,663,655,119 : x
  2. Step 2: Convert to fraction form
    767,307,870/1,663,655,119 = 1,663,655,119/x
  3. Step 3: Cross multiply
    767,307,870x = 1,663,655,119 × 1,663,655,119
  4. Step 4: Simplify right side
    767,307,870x = 2,767,748,354,974,904,320
  5. Step 5: Solve for x
    x = 2,767,748,354,974,904,320/767,307,870
  6. Step 6: Final answer
    x = 3,607,089,752.61

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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.