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Finding the Third Proportional to 64,106,700.75 and 130,477,078.13

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Solution

The third proportional to 64,106,700.75 and 130,477,078.13 is: 265,561,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,106,700.75 : 130,477,078.13 = 130,477,078.13 : x
  2. Step 2: Convert to fraction form
    64,106,700.75/130,477,078.13 = 130,477,078.13/x
  3. Step 3: Cross multiply
    64,106,700.75x = 130,477,078.13 × 130,477,078.13
  4. Step 4: Simplify right side
    64,106,700.75x = 17,024,267,916,037,354
  5. Step 5: Solve for x
    x = 17,024,267,916,037,354/64,106,700.75
  6. Step 6: Final answer
    x = 265,561,442.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.