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Finding the Third Proportional to 1,013,073,075 and 1,513,645,663.50

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Solution

The third proportional to 1,013,073,075 and 1,513,645,663.50 is: 2,261,557,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,073,075 : 1,513,645,663.50 = 1,513,645,663.50 : x
  2. Step 2: Convert to fraction form
    1,013,073,075/1,513,645,663.50 = 1,513,645,663.50/x
  3. Step 3: Cross multiply
    1,013,073,075x = 1,513,645,663.50 × 1,513,645,663.50
  4. Step 4: Simplify right side
    1,013,073,075x = 2,291,123,194,632,355,328
  5. Step 5: Solve for x
    x = 2,291,123,194,632,355,328/1,013,073,075
  6. Step 6: Final answer
    x = 2,261,557,681.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.