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Finding the Third Proportional to 710,439,547,378 and 1,534,110,837,456

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Solution

The third proportional to 710,439,547,378 and 1,534,110,837,456 is: 3,312,732,336,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,439,547,378 : 1,534,110,837,456 = 1,534,110,837,456 : x
  2. Step 2: Convert to fraction form
    710,439,547,378/1,534,110,837,456 = 1,534,110,837,456/x
  3. Step 3: Cross multiply
    710,439,547,378x = 1,534,110,837,456 × 1,534,110,837,456
  4. Step 4: Simplify right side
    710,439,547,378x = 2,353,496,061,599,949,726,416,896
  5. Step 5: Solve for x
    x = 2,353,496,061,599,949,726,416,896/710,439,547,378
  6. Step 6: Final answer
    x = 3,312,732,336,320.43

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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.