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Finding the Third Proportional to 714,154,278 and 1,103,053,968

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Solution

The third proportional to 714,154,278 and 1,103,053,968 is: 1,703,732,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,154,278 : 1,103,053,968 = 1,103,053,968 : x
  2. Step 2: Convert to fraction form
    714,154,278/1,103,053,968 = 1,103,053,968/x
  3. Step 3: Cross multiply
    714,154,278x = 1,103,053,968 × 1,103,053,968
  4. Step 4: Simplify right side
    714,154,278x = 1,216,728,056,320,545,024
  5. Step 5: Solve for x
    x = 1,216,728,056,320,545,024/714,154,278
  6. Step 6: Final answer
    x = 1,703,732,784.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.