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Finding the Third Proportional to 1,604,748,146 and 3,494,386,484

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Solution

The third proportional to 1,604,748,146 and 3,494,386,484 is: 7,609,129,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,748,146 : 3,494,386,484 = 3,494,386,484 : x
  2. Step 2: Convert to fraction form
    1,604,748,146/3,494,386,484 = 3,494,386,484/x
  3. Step 3: Cross multiply
    1,604,748,146x = 3,494,386,484 × 3,494,386,484
  4. Step 4: Simplify right side
    1,604,748,146x = 12,210,736,899,561,881,600
  5. Step 5: Solve for x
    x = 12,210,736,899,561,881,600/1,604,748,146
  6. Step 6: Final answer
    x = 7,609,129,775.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.