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Finding the Third Proportional to 1,098,448,672 and 1,657,887,974

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Solution

The third proportional to 1,098,448,672 and 1,657,887,974 is: 2,502,249,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,448,672 : 1,657,887,974 = 1,657,887,974 : x
  2. Step 2: Convert to fraction form
    1,098,448,672/1,657,887,974 = 1,657,887,974/x
  3. Step 3: Cross multiply
    1,098,448,672x = 1,657,887,974 × 1,657,887,974
  4. Step 4: Simplify right side
    1,098,448,672x = 2,748,592,534,333,824,512
  5. Step 5: Solve for x
    x = 2,748,592,534,333,824,512/1,098,448,672
  6. Step 6: Final answer
    x = 2,502,249,403.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.