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Finding the Third Proportional to 1,169,117,582 and 2,544,046,984

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Solution

The third proportional to 1,169,117,582 and 2,544,046,984 is: 5,535,948,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,117,582 : 2,544,046,984 = 2,544,046,984 : x
  2. Step 2: Convert to fraction form
    1,169,117,582/2,544,046,984 = 2,544,046,984/x
  3. Step 3: Cross multiply
    1,169,117,582x = 2,544,046,984 × 2,544,046,984
  4. Step 4: Simplify right side
    1,169,117,582x = 6,472,175,056,799,496,192
  5. Step 5: Solve for x
    x = 6,472,175,056,799,496,192/1,169,117,582
  6. Step 6: Final answer
    x = 5,535,948,784.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.