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Finding the Third Proportional to 58,977,996,354 and 129,977,586,709

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Solution

The third proportional to 58,977,996,354 and 129,977,586,709 is: 286,448,745,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,977,996,354 : 129,977,586,709 = 129,977,586,709 : x
  2. Step 2: Convert to fraction form
    58,977,996,354/129,977,586,709 = 129,977,586,709/x
  3. Step 3: Cross multiply
    58,977,996,354x = 129,977,586,709 × 129,977,586,709
  4. Step 4: Simplify right side
    58,977,996,354x = 16,894,173,046,695,614,480,384
  5. Step 5: Solve for x
    x = 16,894,173,046,695,614,480,384/58,977,996,354
  6. Step 6: Final answer
    x = 286,448,745,143.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.