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Finding the Third Proportional to 45,656,046 and 97,776,594

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Solution

The third proportional to 45,656,046 and 97,776,594 is: 209,397,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,656,046 : 97,776,594 = 97,776,594 : x
  2. Step 2: Convert to fraction form
    45,656,046/97,776,594 = 97,776,594/x
  3. Step 3: Cross multiply
    45,656,046x = 97,776,594 × 97,776,594
  4. Step 4: Simplify right side
    45,656,046x = 9,560,262,334,240,836
  5. Step 5: Solve for x
    x = 9,560,262,334,240,836/45,656,046
  6. Step 6: Final answer
    x = 209,397,509.68

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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.