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Finding the Third Proportional to 832,748,748 and 1,851,688,227

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Solution

The third proportional to 832,748,748 and 1,851,688,227 is: 4,117,387,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,748,748 : 1,851,688,227 = 1,851,688,227 : x
  2. Step 2: Convert to fraction form
    832,748,748/1,851,688,227 = 1,851,688,227/x
  3. Step 3: Cross multiply
    832,748,748x = 1,851,688,227 × 1,851,688,227
  4. Step 4: Simplify right side
    832,748,748x = 3,428,749,290,010,403,328
  5. Step 5: Solve for x
    x = 3,428,749,290,010,403,328/832,748,748
  6. Step 6: Final answer
    x = 4,117,387,505.23

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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.