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Finding the Third Proportional to 710,439,547,361 and 1,534,110,837,418

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Solution

The third proportional to 710,439,547,361 and 1,534,110,837,418 is: 3,312,732,336,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,439,547,361 : 1,534,110,837,418 = 1,534,110,837,418 : x
  2. Step 2: Convert to fraction form
    710,439,547,361/1,534,110,837,418 = 1,534,110,837,418/x
  3. Step 3: Cross multiply
    710,439,547,361x = 1,534,110,837,418 × 1,534,110,837,418
  4. Step 4: Simplify right side
    710,439,547,361x = 2,353,496,061,483,357,202,022,400
  5. Step 5: Solve for x
    x = 2,353,496,061,483,357,202,022,400/710,439,547,361
  6. Step 6: Final answer
    x = 3,312,732,336,235.59

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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.