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Finding the Third Proportional to 30,437,316 and 65,184,276

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Solution

The third proportional to 30,437,316 and 65,184,276 is: 139,598,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,437,316 : 65,184,276 = 65,184,276 : x
  2. Step 2: Convert to fraction form
    30,437,316/65,184,276 = 65,184,276/x
  3. Step 3: Cross multiply
    30,437,316x = 65,184,276 × 65,184,276
  4. Step 4: Simplify right side
    30,437,316x = 4,248,989,837,644,176
  5. Step 5: Solve for x
    x = 4,248,989,837,644,176/30,437,316
  6. Step 6: Final answer
    x = 139,598,045.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.