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Finding the Third Proportional to 55,721,537,805 and 85,202,892,432

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Solution

The third proportional to 55,721,537,805 and 85,202,892,432 is: 130,282,349,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,721,537,805 : 85,202,892,432 = 85,202,892,432 : x
  2. Step 2: Convert to fraction form
    55,721,537,805/85,202,892,432 = 85,202,892,432/x
  3. Step 3: Cross multiply
    55,721,537,805x = 85,202,892,432 × 85,202,892,432
  4. Step 4: Simplify right side
    55,721,537,805x = 7,259,532,878,778,963,329,024
  5. Step 5: Solve for x
    x = 7,259,532,878,778,963,329,024/55,721,537,805
  6. Step 6: Final answer
    x = 130,282,349,783.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.