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Finding the Third Proportional to 712,290,174.19 and 1,547,197,092

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Solution

The third proportional to 712,290,174.19 and 1,547,197,092 is: 3,360,735,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,290,174.19 : 1,547,197,092 = 1,547,197,092 : x
  2. Step 2: Convert to fraction form
    712,290,174.19/1,547,197,092 = 1,547,197,092/x
  3. Step 3: Cross multiply
    712,290,174.19x = 1,547,197,092 × 1,547,197,092
  4. Step 4: Simplify right side
    712,290,174.19x = 2,393,818,841,493,256,704
  5. Step 5: Solve for x
    x = 2,393,818,841,493,256,704/712,290,174.19
  6. Step 6: Final answer
    x = 3,360,735,453.39

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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.