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Finding the Third Proportional to 832,748,751 and 1,851,688,233

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Solution

The third proportional to 832,748,751 and 1,851,688,233 is: 4,117,387,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,748,751 : 1,851,688,233 = 1,851,688,233 : x
  2. Step 2: Convert to fraction form
    832,748,751/1,851,688,233 = 1,851,688,233/x
  3. Step 3: Cross multiply
    832,748,751x = 1,851,688,233 × 1,851,688,233
  4. Step 4: Simplify right side
    832,748,751x = 3,428,749,312,230,662,144
  5. Step 5: Solve for x
    x = 3,428,749,312,230,662,144/832,748,751
  6. Step 6: Final answer
    x = 4,117,387,517.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.