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Finding the Third Proportional to 66,943,924 and 103,445,412

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Solution

The third proportional to 66,943,924 and 103,445,412 is: 159,849,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,943,924 : 103,445,412 = 103,445,412 : x
  2. Step 2: Convert to fraction form
    66,943,924/103,445,412 = 103,445,412/x
  3. Step 3: Cross multiply
    66,943,924x = 103,445,412 × 103,445,412
  4. Step 4: Simplify right side
    66,943,924x = 10,700,953,263,849,744
  5. Step 5: Solve for x
    x = 10,700,953,263,849,744/66,943,924
  6. Step 6: Final answer
    x = 159,849,507.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.