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Finding the Third Proportional to 4,933,607,971 and 10,653,547,488

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Solution

The third proportional to 4,933,607,971 and 10,653,547,488 is: 23,005,085,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933,607,971 : 10,653,547,488 = 10,653,547,488 : x
  2. Step 2: Convert to fraction form
    4,933,607,971/10,653,547,488 = 10,653,547,488/x
  3. Step 3: Cross multiply
    4,933,607,971x = 10,653,547,488 × 10,653,547,488
  4. Step 4: Simplify right side
    4,933,607,971x = 113,498,074,079,071,109,120
  5. Step 5: Solve for x
    x = 113,498,074,079,071,109,120/4,933,607,971
  6. Step 6: Final answer
    x = 23,005,085,678.92

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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.