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Finding the Third Proportional to 45,712,924 and 97,625,444

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Solution

The third proportional to 45,712,924 and 97,625,444 is: 208,490,870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712,924 : 97,625,444 = 97,625,444 : x
  2. Step 2: Convert to fraction form
    45,712,924/97,625,444 = 97,625,444/x
  3. Step 3: Cross multiply
    45,712,924x = 97,625,444 × 97,625,444
  4. Step 4: Simplify right side
    45,712,924x = 9,530,727,316,197,136
  5. Step 5: Solve for x
    x = 9,530,727,316,197,136/45,712,924
  6. Step 6: Final answer
    x = 208,490,870.46

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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.