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Finding the Third Proportional to 14,365,301 and 31,009,618

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Solution

The third proportional to 14,365,301 and 31,009,618 is: 66,938,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365,301 : 31,009,618 = 31,009,618 : x
  2. Step 2: Convert to fraction form
    14,365,301/31,009,618 = 31,009,618/x
  3. Step 3: Cross multiply
    14,365,301x = 31,009,618 × 31,009,618
  4. Step 4: Simplify right side
    14,365,301x = 961,596,408,505,924
  5. Step 5: Solve for x
    x = 961,596,408,505,924/14,365,301
  6. Step 6: Final answer
    x = 66,938,827.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.