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Finding the Third Proportional to 9,952,663,294 and 21,382,328,700

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Solution

The third proportional to 9,952,663,294 and 21,382,328,700 is: 45,937,852,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952,663,294 : 21,382,328,700 = 21,382,328,700 : x
  2. Step 2: Convert to fraction form
    9,952,663,294/21,382,328,700 = 21,382,328,700/x
  3. Step 3: Cross multiply
    9,952,663,294x = 21,382,328,700 × 21,382,328,700
  4. Step 4: Simplify right side
    9,952,663,294x = 457,203,980,634,843,709,440
  5. Step 5: Solve for x
    x = 457,203,980,634,843,709,440/9,952,663,294
  6. Step 6: Final answer
    x = 45,937,852,726.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.