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Finding the Third Proportional to 698,752,908 and 1,495,663,984

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Solution

The third proportional to 698,752,908 and 1,495,663,984 is: 3,201,433,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,752,908 : 1,495,663,984 = 1,495,663,984 : x
  2. Step 2: Convert to fraction form
    698,752,908/1,495,663,984 = 1,495,663,984/x
  3. Step 3: Cross multiply
    698,752,908x = 1,495,663,984 × 1,495,663,984
  4. Step 4: Simplify right side
    698,752,908x = 2,237,010,753,034,752,256
  5. Step 5: Solve for x
    x = 2,237,010,753,034,752,256/698,752,908
  6. Step 6: Final answer
    x = 3,201,433,192.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.