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Finding the Third Proportional to 4,898,557,724 and 7,564,428,324

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Solution

The third proportional to 4,898,557,724 and 7,564,428,324 is: 11,681,106,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898,557,724 : 7,564,428,324 = 7,564,428,324 : x
  2. Step 2: Convert to fraction form
    4,898,557,724/7,564,428,324 = 7,564,428,324/x
  3. Step 3: Cross multiply
    4,898,557,724x = 7,564,428,324 × 7,564,428,324
  4. Step 4: Simplify right side
    4,898,557,724x = 57,220,575,868,933,447,680
  5. Step 5: Solve for x
    x = 57,220,575,868,933,447,680/4,898,557,724
  6. Step 6: Final answer
    x = 11,681,106,785.49

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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.