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Finding the Third Proportional to 575,064,727 and 1,258,940,358

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Solution

The third proportional to 575,064,727 and 1,258,940,358 is: 2,756,091,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,064,727 : 1,258,940,358 = 1,258,940,358 : x
  2. Step 2: Convert to fraction form
    575,064,727/1,258,940,358 = 1,258,940,358/x
  3. Step 3: Cross multiply
    575,064,727x = 1,258,940,358 × 1,258,940,358
  4. Step 4: Simplify right side
    575,064,727x = 1,584,930,825,001,168,128
  5. Step 5: Solve for x
    x = 1,584,930,825,001,168,128/575,064,727
  6. Step 6: Final answer
    x = 2,756,091,185.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.