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Finding the Third Proportional to 1,209,754,948 and 1,868,357,788

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Solution

The third proportional to 1,209,754,948 and 1,868,357,788 is: 2,885,510,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,754,948 : 1,868,357,788 = 1,868,357,788 : x
  2. Step 2: Convert to fraction form
    1,209,754,948/1,868,357,788 = 1,868,357,788/x
  3. Step 3: Cross multiply
    1,209,754,948x = 1,868,357,788 × 1,868,357,788
  4. Step 4: Simplify right side
    1,209,754,948x = 3,490,760,823,980,253,184
  5. Step 5: Solve for x
    x = 3,490,760,823,980,253,184/1,209,754,948
  6. Step 6: Final answer
    x = 2,885,510,681.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.