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Finding the Third Proportional to 2,473,117,047 and 5,333,643,642

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Solution

The third proportional to 2,473,117,047 and 5,333,643,642 is: 11,502,793,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,117,047 : 5,333,643,642 = 5,333,643,642 : x
  2. Step 2: Convert to fraction form
    2,473,117,047/5,333,643,642 = 5,333,643,642/x
  3. Step 3: Cross multiply
    2,473,117,047x = 5,333,643,642 × 5,333,643,642
  4. Step 4: Simplify right side
    2,473,117,047x = 28,447,754,499,847,024,640
  5. Step 5: Solve for x
    x = 28,447,754,499,847,024,640/2,473,117,047
  6. Step 6: Final answer
    x = 11,502,793,421.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.