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Finding the Third Proportional to 935,298,284.50 and 1,307,602,051.50

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Solution

The third proportional to 935,298,284.50 and 1,307,602,051.50 is: 1,828,104,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,298,284.50 : 1,307,602,051.50 = 1,307,602,051.50 : x
  2. Step 2: Convert to fraction form
    935,298,284.50/1,307,602,051.50 = 1,307,602,051.50/x
  3. Step 3: Cross multiply
    935,298,284.50x = 1,307,602,051.50 × 1,307,602,051.50
  4. Step 4: Simplify right side
    935,298,284.50x = 1,709,823,125,087,008,768
  5. Step 5: Solve for x
    x = 1,709,823,125,087,008,768/935,298,284.50
  6. Step 6: Final answer
    x = 1,828,104,630.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.