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Finding the Third Proportional to 1,742,087,952 and 2,663,123,211

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Solution

The third proportional to 1,742,087,952 and 2,663,123,211 is: 4,071,106,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,087,952 : 2,663,123,211 = 2,663,123,211 : x
  2. Step 2: Convert to fraction form
    1,742,087,952/2,663,123,211 = 2,663,123,211/x
  3. Step 3: Cross multiply
    1,742,087,952x = 2,663,123,211 × 2,663,123,211
  4. Step 4: Simplify right side
    1,742,087,952x = 7,092,225,236,966,950,912
  5. Step 5: Solve for x
    x = 7,092,225,236,966,950,912/1,742,087,952
  6. Step 6: Final answer
    x = 4,071,106,300.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.