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Finding the Third Proportional to 762,473,358 and 1,664,775,720

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Solution

The third proportional to 762,473,358 and 1,664,775,720 is: 3,634,852,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,473,358 : 1,664,775,720 = 1,664,775,720 : x
  2. Step 2: Convert to fraction form
    762,473,358/1,664,775,720 = 1,664,775,720/x
  3. Step 3: Cross multiply
    762,473,358x = 1,664,775,720 × 1,664,775,720
  4. Step 4: Simplify right side
    762,473,358x = 2,771,478,197,901,518,336
  5. Step 5: Solve for x
    x = 2,771,478,197,901,518,336/762,473,358
  6. Step 6: Final answer
    x = 3,634,852,508.38

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Why These Related Problems?

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