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Finding the Third Proportional to 58,307,184 and 127,564,506

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Solution

The third proportional to 58,307,184 and 127,564,506 is: 279,085,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,307,184 : 127,564,506 = 127,564,506 : x
  2. Step 2: Convert to fraction form
    58,307,184/127,564,506 = 127,564,506/x
  3. Step 3: Cross multiply
    58,307,184x = 127,564,506 × 127,564,506
  4. Step 4: Simplify right side
    58,307,184x = 16,272,703,191,024,036
  5. Step 5: Solve for x
    x = 16,272,703,191,024,036/58,307,184
  6. Step 6: Final answer
    x = 279,085,733.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.